So, tldr version: Atheism does not necessarily entail advocating materialism nor being anti-religious. I stand behind only naturalism because 1) the ecosphere matters more than anything else including humans; 2) naturalism is a big tent that doesn't try to keep the religious out (or "get rid of religion") and thereby 'cut off its nose to spite its face'.
Maybe I have a poor understanding of what materialism entails. I don't see it as having a relationship with any particular dogma or framework, except that the universe can be modeled. To me it's a statement that the universe is made of chemical elements, nothing more, nothing less.
I like naturalism too for the reason you mention - it is inclusive of the religious - they become a part of the aforementioned modelling, rather than a problem that needs to be solved.
If we're talking facts, to me that's a fact.