David M.
Your observations appear to be spot on and appear to be a fairly direct refutation of Dawkins' whole premise - whether you are aware of it or not! You can read a more formal refutation from Keith Ward here:
http://www.amazon.com/Why-There-Almost-Certainly-God-ebook/dp/B004UA4CG4/ref=la_B001H6Q88E_1_3?s=books&ie=UTF8&qid=1388453628&sr=1-3
It is a more formal rebuttal to Dawkins' book. Basically, he calls out Dawkins for taking a very narrow materialist approach to the issue - an approach, as it turns out, that is taken by a minority of philosophers, since it fails to account for phenomenon like consciousness and individual volition. His assertion is that God is not only possible, but indeed probable.