I don't find this realistic at all. There has been a religious right in America for generations, and from time to time they take influence over some facet of culture, leading to bizarrities like Prohibition (and all the clandestine bars Prohibition spawned) and the Hollywood Morality Code, which, among other things, suggests that all married couples sleep in twin beds across the room from each other.
They are not likely to just go away. We need to stop letting them dictate how our government does things.
Never linger too long with the ignorant,
throw stones at their talk.
Walk only with the lovers,
the mirror of the soul gets rusty when
dipped in muddy water.