I think that the American right is a unique sort of society, and that patterns drawn from their behavior can't be relied on in most other contexts. Their religions look like Christianity but act like non-syncretistic paganism ("worshiping oneself in the guise of worshiping God"), and their hostility to an awful lot of scholarship seems to originate in not wanting to be taken for a ride -- and in the confidence of many peoples, especially relatively backwards ones, that they already know everything that's necessary in order to live well. (The Persians told Chardin as much in the 1500s, as mentioned in The Structures of Everyday Life.)
Have you read Albion's Seed? If not (and it's about 600 pages of historical scholarship, so I won't blame you), look up Slate Star Codex's review, which makes the book's essential points in reduced (and maybe slightly caricatured) form.
Also, I never said that religiosity by itself would result in downfall of a society. Lots of religious societies have done well in history, but they also had relatively good education. The early Islamic world you mention I think qualifies here. It's when you combine religiosity with terrible education that you're really doomed. The education serves as a check against the religiosity getting out of control and turning into theocracy, or whatever you call the wackiness we're seeing in the right-wing here in America today.