God has proven his existence. Look around you. The Bible says (Rom 1:19-20 NIV) "...what may be known about God is plain to them [people], because God has made it plain to them. {20} For since the creation of the world God's invisible qualities--his eternal power and divine nature--have been clearly seen, being understood from what has been made, so that men are without excuse."
It says the reason people don't see it is because they "suppress the truth by their wickedness."(Rom 1:18 NIV) They don't want to acknowledge that there is a God, because if they do, they must admit that there is an absolute authority that determines right and wrong. If such an authority exists, it is also probable that they will some day have to face him and his judgment. We (people) have a vested interest in the proposition that there is no God, because that allows us to do as we please and be a god unto ourselves. Therefore, we "suppress" anything that is in conflict with this view.
One of the most popular genres of TV/film/literature is the crime drama. (just look at how many Law and Order and CSI spin offs there are). The plot is always the same. Someone did something bad and by the end of the story, they have been brought to justice. These stories resonate with us (people in general) because justice is a core value deep down inside of everyone. You could go anywhere on the planet and find that people would feel the need for justice.
Justice is a core value to us because it is a part of God's nature in us. God is just. He does bring justice. It may not be swift by our time table, but it does come and is certain. He DOES judge Wrongdoing. He cannot do otherwise.
Herein lies the problem.
We are ALL guilty of wrongdoing. We are all in line for judgment. God's justice is unavoidable. (hence the need to explain God out of existence)
But God doesn't want to destroy man. "...He is patient with you, not wanting anyone to perish..."(2 Pet 3:9 NIV). He loves mankind and each of us personally. Yet He is Holy and Just cannot simply ignore justice.
So God provided a way out. He found a way to satisfy Justice without destroying us. He sent his son, Jesus, to take our place.
(Rom 3:25-26 NIV) "God presented him as a sacrifice of atonement, through faith in his blood. He did this to demonstrate his justice, because in his forbearance he had left the sins committed beforehand unpunished-- {26} he did it to demonstrate his justice at the present time, so as to be just and the one who justifies those who have faith in Jesus."
You see, Jesus was the only person who ever lived who did NOT deserve to be destroyed in judgment. He was the only person who did not need to be judged for his own wrong doing (which the Bible calls "sin") because he had none. Therefore he was able to step into our place and take the punishment due to us.
Suppose you find yourself in court someday, and the judge offers to pay your fine for you if you plead guilty. Whose fault is it if you refuse the deal? Is it the judges? No. It is yours. Now you have to admit that you are guilty, and you have to "believe" that he will do what what he said. But if you turn it down, it is no ones fault but your own.
Suppose you find yourself in a crashing plane. The pilot hands you his parachute and says he will go down with the plane so you can escape. If you refuse to believe that the parachute will save you and don't make use if it... whose fault it that? Certainly not the person who provided it to you at great personal sacrifice.
Jesus said, (John 7:17 NIV) "If anyone chooses to do God's will, he will find out whether my teaching comes from God or whether I speak on my own." The prerequisite for being able to correctly recognize God, is a willingness to do His will. If we are NOT willing to do His will, then we have a tendency to "suppress the truth." The issue is not one of God's ability to "prove His Existence" but rather our willingness or unwillingness to accept the implications that reality.
In the Bible, God says (Jer 29:13 NIV) "You will seek me and find me when you seek me with all your heart."
I pray that you will seek Him... with an open heart... with a willing heart... with all your heart.