If you want to formulate this a diametric opposition, wrt to which there is no possible compromise ever, then your problem isn't with "a" theory but rather with all scientific theories. All scientific theories implicitly assume the regularity and law abiding character of nature, i.e. that miracles don't occur within their applicable domain.
This, of course, is an "operational" assumption, made simply for the purpose of doing science, and not therefore a direct challenge to extra-scientific claims. But accepting this understanding in any form would necessarily eliminate "diametric opposition" and I suppose amount to a "compromise".
By your "logic" the theory of photosynthesis, for instance, denies God since God certainly could change (or replace with sheer miracle) the chemical reactions occurring in cells and their plastids. But then militant, fulminating extremism invariably leads to stupid results.
We had a nearly identical analysis of nmh's #3.
...great minds ;-)