If I insist God does not exist, then (by your own standard) I am not bound by logic. You, on the other hand, believing He DOES exist, ARE so bound. So if I am going to speak to you in a language you understand, it has to be Logic. That doesn’t mean I believe in it (or its Creator), simply that it serves as a convenient medium for the exchange of ideas.
In MY world, it would be just as meaningful to pound on the keyboard like a monkey. But in this exercise, if I wish to communicate with you, I have to speak your language.
Your insistence one way or the other has no effect on the objective fact of God's existence, but it's not just that you would not be bound by the laws of logic if God did not exist, there would be no such thing as the laws of logic. Knowledge, science, morality, and freedom would be impossible. And if that's the case then I don't think ice cream has bones either.
I am not bound by logic. You, on the other hand, believing He DOES exist, ARE so bound. So if I am going to speak to you in a language you understand, it has to be Logic. That doesn’t mean I believe in it (or its Creator), simply that it serves as a convenient medium for the exchange of ideas.
Equally precluded in a materialist universe, though, are "ideas", and "communication" and "language" (which require a code, which requires intelligent agency). So it appears that you may still be suffering from the residual effects of a theistic presuppositional hangover.