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Apologies to Kyo, misunderstood your intentions.
As for the original question.
In principle it is entirely impossible to disprove the existence of god.
No matter what evidence you may put forward, the undeniable come-back is "that's just how god made it".
If you were to prove beyond doubt that evolution happened, and that the universe started from a big bang, and the universe is run by a set of formal laws, there is a simple and predictable rebuttal available to all theists.
In fact, this single rebuttal can be used in two ways:
1. Evolution and the Big Bang did not happen. I accept all of the evidence you have gathered, but all of that evidence was found within God’s universe. God created the universe, and as such it is not inconceivable that he created the fossils which you found which led you to your incorrect beliefs. Similarly for your evidence of the Big Bang. Why God decided to create the universe in such a way is not for us to attempt to understand. But he did.
And more rationally:
2. Evolution and the Big Bang did happen. They are the methods that God used to create and run the universe. This newly discovered Theory of Everything? Again, that just shows the rules which God designed when creating the universe.
In short, it is impossible, in principle to disprove the existence of God.
The opposite however, I don’t believe to be true, at least in principle.
Were God to introduce a new 11th commandment, and smite people with lightning bolts every time it is broken, he would do much in persuading me of his existence.
Or if he parted the clouds and had nice friendly chats with his loyal subjects. Or if he wrote a book, explicitly predicting certain events of the future. Or if he sent down his only son to die and rise from the dead. All of these things would certainly be considered as very weighty evidence.
Now obviously it would be impossible to construct a formal proof of the existence of god, simply on the basis that it is impossible to formally prove anything in the real world, as we are continuously reminded on these boards.
However, to me, overwhelming evidence is as good a proof as you can expect for anything (do rocks fall to the ground when you drop them?)
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