I think there may be a direct correlation in some instances regarding criminal and immoral heborior. Here are my theories why FWIW: Criminals tend to go where the victims are easiest to victimize. Religious people want to think the best of others and tend to trust too much, hence a lot of them get victimized compared to less trusting folks. As to birthrate, maybe but then that may not be out of whack compared to abortions in other less-religious states. Pregnancies may be the same or higher in those other states; it’s just that in those other states, the babies are disposable. Also, single mothers know they can access charitable sources in religious states, in addition to state or federal benefits. Religious states tend to divide between good people and bad people much more clearly than in other states. People either love religion or hate it, especially whatever religion is dominant in the area. There tends to be less middle ground.
I’d also like to see statistics on the average educational levels of the most religious vs. the least religious states.