Of course, it is impossible to scientifically prove whether God exists and even if it can be proven that He exists, there is still the question of identifying who He is. However, if all these can be proven, then there is no need for faith - "And without faith it is impossible to please God, because anyone who comes to him must believe that he exists and that he rewards those who earnestly seek him." (Heb 11:6)
Believing is a choice - do you want to or not? Some people might feel that if you believe something with only some or no evidence, then you are not wise or you are stupid or simple-minded. However, it seems that this is the way God works in the message of the cross so that no one may boast before him:
1 Corinthians 1: 17-29 (NIV)
For Christ did not send me to baptize, but to preach the gospel—not with words of human wisdom, lest the cross of Christ be emptied of its power.
For the message of the cross is foolishness to those who are perishing, but to us who are being saved it is the power of God. 19For it is written:
"I will destroy the wisdom of the wise;
the intelligence of the intelligent I will frustrate."
Where is the wise man? Where is the scholar? Where is the philosopher of this age? Has not God made foolish the wisdom of the world? For since in the wisdom of God the world through its wisdom did not know him, God was pleased through the foolishness of what was preached to save those who believe.
Jews demand miraculous signs and Greeks look for wisdom, but we preach Christ crucified: a stumbling block to Jews and foolishness to Gentiles, but to those whom God has called, both Jews and Greeks, Christ the power of God and the wisdom of God. For the foolishness of God is wiser than man's wisdom, and the weakness of God is stronger than man's strength.
Brothers, think of what you were when you were called. Not many of you were wise by human standards; not many were influential; not many were of noble birth. But God chose the foolish things of the world to shame the wise; God chose the weak things of the world to shame the strong. He chose the lowly things of this world and the despised things—and the things that are not—to nullify the things that are, so that no one may boast before him.
Jesus himself says that we need child-like minds to believe God, and this is recorded in all 3 synoptic gospels:
Matthew 18: 3-4 (NIV)
3And he said: "I tell you the truth, unless you change and become like little children, you will never enter the kingdom of heaven. 4Therefore, whoever humbles himself like this child is the greatest in the kingdom of heaven."
Mark 10: 14b-15 (NIV)
"Let the little children come to me, and do not hinder them, for the kingdom of God belongs to such as these. 15I tell you the truth, anyone who will not receive the kingdom of God like a little child will never enter it."
Luke 18:16-17 (NIV)
16But Jesus called the children to him and said, "Let the little children come to me, and do not hinder them, for the kingdom of God belongs to such as these. 17I tell you the truth, anyone who will not receive the kingdom of God like a little child will never enter it."
As for me and my family, we choose to believe. How about you?