Well now you've changed your verbiage from "suggest" to "insist". That aside, "all human history" as imprinted by religion is what would make a person have the theory in the first place.
I love ancient churches, mosque, and art as much as anyone, but that doesn't give me an answer to questions like "was the beauty and/or social constructs worth the hatred-of-the-other that came along with religious belief?" or "what would exist if most peoples throughout history had not followed religions?".
These are questions that (probably) can't be answered, so I'd agree that it would be foolish to insist on one view to the exclusion of others.