I am reading your post and all of the responses with interest because I wrestle with the same question. It becomes doubly difficult for me because a lot of business associates and customers have access to my FaceBook and Twitter pages. Nothing seems to alienate people faster than the mere fact of atheism.
The way I have been handling it is to post (or re-tweet) things relevant to atheists or presenting an atheistic pov, but I do not ever comment directly to anyone else's religious posts, no matter how absurd it may be.
The one exception I have been running into is when someone posts one of those atheist-bashing "jokes" like the "April Fool's Day" one. I am fortunate that I haven't seen such nonsense via my FaceBook or Twitter pages, but I am seeing it on ActiveRain. I've spoken up a few times. I was deleted and/or condescended to each time, and was even warned by a "well meaning" person that if I kept it up I would sound "strident" and "angry."
I don't hide my atheism but I don't really purposefully push it on facebook either. My religion on Facebook is listed as: None - Atheist. I post articles from time to time but typically they are science articles or political news. If anyone has posted a bible verse or said they will pray for me on my account I don't remember and I probably ignored it or deleted it. I don't feel like every post of a religious nature needs a response. I mostly use my facebook to keep in touch with people and I don't really want my page to turn into debate after debate. I enjoy debating but I also like to keep my debates in a setting where they don't easily get carried away. Facebook debates more often than not turn into flame wars and I'd rather interact and debate in a more mature way.
To be honest I have been confronted with this on my facebook page because I am extremely open about my atheism. This person accused me of alienating those who see my page and that I should be respectful of their beliefs. I say bullcrap. I won't hold my tongue like a good little atheist while other can put whatever religious nonsense on theirs. I don't want to alienate anyone but if that is the case, so be it. I am not going on other people's pages and harassing them or anything. (much anyway) So I don't feel I have crossed a line. Usually what I do is put up atheistic quotes and articles or my thoughts on religion to at least get people to thinking but as you said above, it mostly goes ignored by my theist friends. I feel that you and I should be able to post what we want on our pages, regardless of how other people take it. Maybe put a disclaimer like I did which I sort of stole from someone.
"This site isn't for the easily offended or the blindly allegiant.
But if you're not afraid to test your beliefs, welcome."-TheThinkingAtheist.
But in all honesty, I think you should speak your mind on your page but perhaps step back on going on other people's statuses and annoying them too much. But if you feel that relationships are more important then by all means, restrain yourself to make them happy. My view is my facebook page is my conduit to releasing my frustrations unmitigated. If people don't like it, they can unfriend me. As many have already done.
Exactly. The purpose of your Facebook page is to allow you to post things primarily about you, your life, hopes, dreams, beliefs and non-beliefs. Early on, I would go to theist friends on their pages and challenge their religious posts, but later I thought that in doing so, I was invading their "space" uninvited, so I limited my opinions (unless invited) to my own wall.
BTW: I actually get into more arguments with an agnostic buddy of mine who strongly disagrees with the statement that disbelief is the default position. In his way of thinking, the phrase "I don't know" doesn't imply disbelief. (but that's another topic).