The first part of your post is absolutely correct. I would never suggest that empirical science can prove or disprove a God who is by definition transcendent of time and space. The second part of your post is problematic. Just because a lack of evidence doesn’t absolutely disprove that something exists, it does not then follow that said something must exist. There are many things that throughout history people have claimed to exist for which there is no evidence. Chances are pretty good that many of them don’t, or didn’t, exist.
I also posit that, contrary to the common Christian argument, many atheists would prefer that God exists but have become unconvinced that one does. To say that all atheists are in denial suggests that they know deep down, or in one way or another, that God exists but are being dishonest with themselves about it. Such a blanket generalization cannot be true of all atheists.