Libre, the problem is that if you look at the explanation of God as shown in the Bible, you have to consider the impossibility of THAT being, too. So if you believe in the Biblical God, you are simply choosing your favorite impossibility. If you pick a non-Biblical god, that opens up an industrial-sized can of worms, too.
If you wish to believe in any god, go right ahead. Just understand that you are compounding complications when you do so. As to the probability of some particular structure existing, you need to understand that claiming the improbability of something that exists is (sorry to say) kind of dumb. If it exists, it was probable enough to have come into existence. If it doesn't exist, it was not probable enough.
Saying after the fact that "structure X is improbable, yet it exists, therefore God must exist to have created X" is to ignore the strictest rule of logic - relevance. What has the existence of X to do with God? If you cannot show strict logic on why X exists in science, I'm going to bet dollars to donuts that you won't be able to do so in theology, either, without stretching your argument to the breaking point.
Then of course there is Carl Sagan's line about whether we are alone in the universe and whether God made it that way... I'm probably paraphrasing, but "If we are alone in the universe, what a terrible waste of space."
Then, of course, there is the "perfectly organized" phrase you tossed into the mix. But there is no evidence of such perfect organization. I have to expressly deny one of your premises that you used to reach your conclusion. With no disrespect intended, I must say that if you think that anything about the universe is perfectly organized, you don't understand astrophysics.