When the Hindu claims that a certain mountain range in India is actually a huge snake under the surface, science can falsify that. If the revealed portion of their religion demands that the snake hypothesis is true, then that "revelation" is false and the Hindu is in a dilemma if he wants to keep his view.
The Christian example of a 6,000-year universe is a case wherein the revealed portion of the religion does not demand a "young earth" view. Since the Hebrew language in Genesis allows (and seems to indicate in places) an old universe, the Christian can embrace that view in keeping with the evidence.
If tomorrow we discovered indisputably that the universe is only 6 to 10 - thousand years old (that ain't gonna happen), I would shrug my shoulders and say I guess the young-earth view was correct! It's not an essential of the Christian Faith but is a peripheral issue.
But in what way could the science you're talking about detect God himself? If God exists, he is immaterial, timeless, and spaceless, etc. Science is therefore limited to investigating vestiges or indications of God predicted by theism or the revealed portion of the religion(s), but then any speculations as to what can be inferred by scientific studies moves out of the realm of science per se, and into the realm of philosophy.
So what are some things that Christian Theism would affirm or predict according to both Natural Theology and Revealed Theology that science could investigate? Examples would be:
Secondly, even if certain scientific discoveries lead to considerations that God exists, it requires further philosophical/theological speculation as to which of the World Religions has the best candidate for God.
Finally, as a Christian Theist, I think scientific discovery will progressively confirm the following predictions:
That is the annoying thing about arguing with these people. You think you have 'em but they either avoid getting into that or skirt around the issue with circular answers. Its a big let down.
I am not failure with any historical and archeological confirmations of Christianity. Can you provide some examples? I'm not looking for known historical locations and events mentioned in the bible, but events and archeology that specifically confirms Christianity. Keep in mind that a typical Tom Clancy novel is admittedly a piece of fiction while at same time mentions real-life events and locations. I'm also not looking for examples that would affirm any particular religion, but rather confirmation that Jesus had himself tortured and killed to allow the forgiveness of sins.