For instance, if the 5 proofs had actually logically and definitively proved that a personal God exists, then yes, that knowledge would become part of science.
Conversely, is it not true that the actual bedrock of religions are the books/revelations. Imagine a world where were no such revelations. Would people have as much faith in a personal caring God just on the basis of proofs?
And if the revelations were actually shown to be true, that would become part of scientific knowledge. Say God appears on Earth today and agrees to undergo scientific observations of His nature (say by turning water to wine or parting the ocean under experimental scrutiny), then naturally His existence will have to be accepted as part of reality.
The scientific method is used by everyone, whether consciously or unconsciously and to the best of their ability, to survive and understand the reality we observe. There is no other way to judge right from wrong. Scientists obviously use it to study physical reality. And theists use it for instance to judge which among the various religions (and which denomination within a religion) is actually true. Yes, that is also an application of the scientific method, looking at the arguments for the different religions and judging which one (or none) seems to be true. The disagreements come in when we don't have enough data to make a definitive judgement between the alternatives. And that's where all the wonderful imaginative ideas continue to exist.