Science doesn't set out nor is interested in proving or disproving the existence of God. It's purpose if far more limited, it is limited to facts. It attempts to prove/disprove them through repeatable experiments that support/don't support the previous result. It's rational. Here's a simple science experiment to illustrate: 1+1=2. Now you try it. See? Same result. There's no opinion or beliefs involved.Assertions using the name of science can not disprove the existence of God.
Every one are subjected to their opinions whether true or false.
But no one in the history of mankind and the universe are able to disprove the existence of God.
On the other hand, religion is not fact based. It is, by it's own admission, a belief system (it's silly to say "I believe" 1+1 is 2 because it's a proven fact that it is 2). Beliefs are not, by definition, either right or wrong (that would make them a fact). Beliefs are either held or not (it's equally silly to say that God in fact exists because a belief of such an existence is not subject to independent verification). You can only legitimately question whether or not the individual actually believes (if one does, fine; as a belief it's neither right nor wrong)or not (if one does not, fine; as a belief it's neither right nor wrong). Or the strength of his/her belief. As such, it is, by definition, irrational.
The problem is using rationality to explain the irrational and vice-versa (like trying to squeeze a square peg in a round hole). Otherwise called a "categorical mistake."
So does God exist? Well of course not.