let me take some examples of your "logic"
Thunderstorm and lightning :
1) old Scandinavians said Thor is angry and throwing around his hammer
2) another guy in another place of the world says it's because of the giant farts and flames from a dragon somewhere
3) Benjamin Franklin sends up a kite and says : it has to do with electricity.
What have the two first cases to do with logic ? nothing, they are just bad explanations. You cannot say that the two first responses are "rational", more than lacking other explanations you could say that there is "something" doing it. It could be ANYTHING.
It doesn't mean that God doesn't exist, it's only a hypothesis.
Human experience and logic are two different things. Experience is an accumulation of observations. Million of years of observation of natural phenomena and human behaviour have led some thinkers 300 years ago to approach the understanding of their environment in other ways than the standard... "there is a God". Science doesn't deny the existence of God, it only deals with what human can observe an understand. That's why the theory of evolution is a much more LOGIC explanation than saying that the world was created 6000 years ago by a bearded guy sitting on cloud.
Then you can always say that there is a God behind all this, creation, evolution etc... it has nothing to do with logic. It's a belief and respectable as such. But still a belief.
read about cargo cults
http://en.wikipedia.org/wiki/Cargo_cult and it will give you a good example of human experience and "logic"
btw I am not an atheist.