They might be able to ban abortion and pass laws to make "mysterious" miscarriages punishable, but they will never be able to ban all contraceptives. That would pose such an enormous health risk to society. They might be able to ban contraceptives that don't protect against STDs, like the birth control pill, but I highly doubt they would be able to ban all contraceptives.

I agree completely. And not just abstinence only education. That has been shown time and time again to be ineffective.