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First of all, science doesn't work on finding "indisputable proof" that anything is true.
However there are few reasonable people who would dispute the fact that the earth rotates around the sun rather than vice-versa.
(Woah! Back up. Did I just contradict myself by reffering to this as a 'fact'? No not at all. I used the word in the ordinary every-day sense of the word; in the same sense that it is a fact that the table in front of me exists.)
The reason people feel this way about the earth rotating around the sun is because of the vast amount of evidence in its favor.
So perhaps your question could be reasonably rephrased as
"What's going to happen when scientists find overwhelming evidence that evolution is true"
The answer to this question is that there is no "going to happen" about it. It has already happened.
So has has religion reacted?
Well, most religious people (the pope for example) have accepted this modification of their world view; reviewed their sacred texts and inserted ambiguity where there previously was none, so as to make the claim that there is no contradiction between their religious world view and the scientific one. Any contradiction is only an 'apparent contradiction' based on a naive reading of the appropriate text.
As for the others? Well, if you can't say anything nice...
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