Speak your truth quietly and clearly.
Like us they seek to abolish every belief (or non belief) that is not theirs.
Firstly, not every atheist wants to abolish every belief/non-belief that is not theirs. Secondly, there is only one belief that it is conceivable that all atheists might want to abolish... the belief in gods. The only thing any two atheists necessarily have in common is that they both lack belief in god. There are actually many other things that are way more important than atheism to many atheist's world views such as skepticism and freethought to name a couple.
As for your questions:
1) The same thing/s that makes atheism different from any other religion out there today.
2) The same things we are collectively doing right now... informing, confronting, criticizing, educating, and so on.
3) I don't see how in your scenario the new/militant/radical whatever you want to call it atheist definition would change.
Pillage and burn.
Pillage and burn.
1) It depends on the specific issue at hand- but it likely stems from not "believing" the basic premises of the new religion - probably claims about a god/supernatural beings, forces, etc
2) It should be countered, criticized and exposed by rational argument wherever its influence arises- unless, of course, we are talking about the Church of the Flying Spaghetti Monster
3) See 2
May you be touched by his Noodley Appendages. Ramen!
May we all be touched by his noodley appendages! The world needs pasta! A great pasta awakening/revival!
But this is constantly going on already. There are always new sects rising, it is a lucrative business don't you know. They can internationalize thanks to internet pretty quick, making video's, publishing and distribution of books, cd's and dvd's is very easy and cheap. Indoctrination of large numbers of people has never been more easy in all of Earth's history and yet - I think - it is very improbable we will see the birth of another full blown religion. There are several reborn Jesuses wandering the Earth at this moment/ at every moment, all with their own devotees, all with their own grandiose declarations and all stillborn sects. Some already retreated in seclusion, Jim Jones like, headed for infighting, psychological and physical abuse or worse. Much worse. Others remain more engaging with the world for the time being. UFO's and extraterrestrials are a big hit in the sect business too.
But they do have the serious disadvantage that none of them are true. None of them see doubting the articles of faith as a virtue, everyone of them is in conflict with science one way or another, even those who more or less (sort of) abstain from supernaturalism.
Their public speakers for as much as they have them - different engagement strategies are applied - rely on charisma much more then intelligence. They have to because they do not appeal to intellect or ratio since that's a losing proposition by definition: they're not selling something intelligent or rational, instead they appeal to emotion, existential issues: fear of life, fear of death, meaning etc.
There is no equivalence, basically atheism is the default. It is what is left when all the bullshit flies.
As Becca points out, atheists don't want to abolish different beliefs. At least, they typically don't want to do so in the same manner as religion has used. You are engaging in false equivalency by framing it that all beliefs are equally deserving. What is the difference between a flat-Earther and a science teacher that is abolishing beliefs about a flat Earth by showing the evidence and science around our knowledge that the Earth is an oblate spheroid? Knowledge and the ability to come by knowledge is perhaps the most important legacy we can pass on to new generations. Treating it as being equal to religious fantasy is an intellectual crime that should not go unanswered for.
Another quiblle is this notion of "New Atheism". The only thing "new" about it is that the internet has provided the ability to form communities that have emboldened atheists to come out publicly and has helped greatly to proliferate atheist views into the mainstream public. No longer do atheists need to hide their lack of belief and no longer do we need to sit back quietly while being bullied by a theistic majority.
What makes us different? Well, that depends. Many atheists are atheists by way of Skepticism. In that case, the difference is that Skeptics apply critical inquiry to their beliefs as much as they can. They hold in high regard the scientific method. And how do we know the scientific method is the best tool to evaluate truth claims? Because it works and nothing else comes even close. But, not all atheists are Skeptics and not all atheists have come to their conclusion for good reasons.
What should atheists do about it? Do about what? Atheists should continue to speak up and speak out. As should anyone who cares about anything, including theists. Let the strongest ideas reign supreme on the battlefield and exempt none from taking part.
Should we follow a New Atheism definition? As I've stated, "New Atheism" is a misnomer and I don't agree with your definition of this generation of atheists or that all atheists can so easily be lumped together (nor should they). Otherwise, yes, atheists using science to inform beliefs and refusing to remain silent about those beliefs are two things atheists should continue to do.
I am not a new atheist, and do not identify with the New Atheism. I pride myself on not trying to take away anybody's beliefs, but I do think it's vital to inform people about how they, with their beliefs, dismiss mine and try to take mine away. If there is anything militant about my atheism, it is the passion with which I oppose any religion legislating its beliefs into society as a whole. I do feel rather like a cornered wolverine about that, and I will not stand idly by while it happens.
If this "new" religion is based on the supernatural, then it's bullshit.
If this "new" religion is based on pseudoscientific woo, then it's bullshit.
As Rationalists and Atheists, we need to put on our bug ugly rubber swamp boots and stamp out Bullshit.
A "new" Atheist is just someone who doesn't stay quiet. WE SPEAK UP!
"Though wise men at their end know dark is right,
Because their words had forked no lightning they
Do not go gentle into that good night."
Neither will the 'new' Atheist go gentle into that good night. Hitch was a good example of this.
1) We atheists are not doctrinaire; we follow the evidence. That is a stark and significantly profound difference between atheism and any religion, whether it's a new, utopian one as hypothetically posited in your comment, or not. There is no such thing as one religion being more rational or efficacious than others. Mormons, Baptists, Catholics, Jews, Muslims, Hindus, etc., etc., ad infinitum - they all think all the others are crazy, if not evil - a judgment about which they are all equally correct, because ALL religions are based on supernatural musings, and superstitious fears, not on empirical or even logical evidence. A good one-word descriptor applicable to ALL religions is "cowardice." They are all cowardly attempts to assuage the paralyzing fear of death through the invention of existential fairy tales that are patently preposterous - "Santa Claus" for adults. We atheists, on the other hand, bravely take what nature presents, try to improve upon it, and live with it to the best of our ability and with our most humanistic of intentions.
2) We should continue to see the truth and share our knowledge and reason based on science and rational inquiry whenever and wherever the opportunity arises, as I am presently doing. I also search the internet for religious sites that allow outsiders (i.e., atheists) to post commentary and opinions; but they are hard to find, because religionists try to erect a barrier between what they WANT to believe and what contrary evidence might intrude. I certainly have never found a website that invites opposing views, as this one does.
3) We should apply the "New Atheist" stratagem whenever and wherever possible. It's not a new "definition," as you state, though. Atheism is, has always been, and will always be simply a LACK of belief in theistic explanations of the natural world. Hey, we were BORN that way. Our brains seek logic; religion rejects it. What has changed is the willingness of some in the atheist community - scientists in particular - to come out of the closet, say what they believe, and support it with their knowledge, training, and eloquence. Bertrand Russell was the first to do it. Carl Sagan followed in his footsteps. And both were roundly castigated for it in the religious community. Dawkins, Dennett, Harris, Hitchens, and others are following in Sagan's footsteps and moving beyond. Even Stephen Hawking has been uncharacteristically edging towards stridency regarding his anti-religious views of late, which is a very good sign, especially since it's beginning to look like he may live forever. Believe me: when he very publicly proclaimed his belief that God was not necessary to explain the universe, a lot of people on both sides of the issue sat up and took notice. Yes, we absolutely should adopt the "new atheist" strategic paradigm.
Explain myself? I hope I did. What is more interesting to me is to explain YOU. I was immediately suspicious when you began your second paragraph with the phrase "atheism theory." That sounds suspiciously like something that came directly out of the little hole-in-the-wall Discovery Institute office in Seattle. I apologize if I'm misinterpreting your intention. If you, yourself, are an atheist, I would suggest you use the word "paradigm," hereafter, rather than "theory."
For the record, atheism is not a "theory." We don't theorize anything affirmatively. We simply admit that we, unlike benighted religionists, DON'T know everything. We are hoping to learn more about as many things as possible. But we cannot accept the notion that the answers can be found in bronze age mythological superstitions that are 100% unsupported by anything resembling "evidence," either empirical or philosophical; or by some black-jacketed compilation of selected contradictory and repeatedly reinterpreted, absurd ramblings of quasi-prophetic, middle east sheepherders, especially since much of it is extremely hateful and inhumane, to say the least.
One more thing: another suspicious phrase you used was "Like us they seek to abolish every belief (or non belief) that is not theirs." The "New Atheists" are not out to abolish anyone's belief. We are out to prevent those beliefs from preventing the progress of society. Religion, by its very nature, is anti-science. Anti-science, in turn, is dangerous - potentially devastating - to society. Religionists who seek to replace science in the classroom with superstition; who wish to supplant evolution with "intelligent design;" who believe God opposes sex education, hates homosexuals, and approves of the assassination of abortion-providing doctors, are planting the seeds of ignorance that will ultimately bring down the United States as a bastion of democracy. Religion, by its very nature, is anti-democratic, as the Calvinistic Puritans were proudly fond of proclaiming ("People don't rule the world, God does.") It's this that the New Atheists are uniting to fight against, not individual beliefs. Richard Dawkins couldn't care less what someone's personal beliefs may be, as long as they don't threaten rational, progressive inquiry from continuing, as it has for the past 400 years, to improve the lives of the citizens of the world. So he goes out and entertainingly educates audiences worldwide about how evolution works, not only with his many brilliant books, but with numerous personal appearances. HE, indeed, is a "New Atheist," in that he wants to spread knowledge to counter ignorance.