Actually, turn the argument around. There is not one shred of "logic" that can be used in defense of any theory surrounding a "supreme being." There are mountains of evidence against the teachings that bible-thumpers hold as fact (the "christmas" story, Easter, the resurrection...not to mention the vast majority of the old testament...ALL of these have roots in much older tales that predate christianity by hundreds and in some cases thousands of years).
Which is more logical: that a supreme being created everything in the universe (where did he stand while doing this, anyway?) and demands the worship of the pitiful creatures he created, or that men created gods out of fear of their unknown (death...volcanos...the sun...name it)? God(s) give meaning where there is actually little more than chaos.
"Logic" and "religion" go together like peanut butter and iPod. There just isn't any connection between the two.