In one case, Apostolos, you are dead right. In another, dead wrong.
As you state, one cannot prove empirically that God does not exist. Equally, one cannot prove empirically that God DOES exist. One cannot prove empirically that there are not 73 Gods running the universe, or that God has a father - SuperGod, who in turn has a father - HyperGod. So with a total lack of empirical evidence for God, there is no reason to believe in it.
But you are totally wrong about evolutionists choosing their faith to not believe in God. The simple fact is that many people have chosen to base their beliefs on the evidence they see around them, rather than on what someone preaches. The result is that they don't believe in fairies or ghosts or flying saucers, but they accept evolution (along with many other scientific theories) because they think the evidence supports these theories. Religion and faith have nothing to do with it.
Mike.