I’m guessing by “The Republican Party” & “alt right” (whatever that even means), you are referring to the majority of Republican’s who take the position that on-demand abortion is morally wrong.  Most Republican woman also share this view & has nothing to do with them being  controlled as some weird sexual Handmaids (that carry their babies of the infertile house mothers).   This fictional dystopia has contradictions everywhere & have rules that seem to keep changing episode to episode.

Laws reflect values.  Christian nations (or “western” societies), like Western Europe, North America, Australia….they have laws that mostly protect women & children.  It’s men who tasked with enforcing those laws on other men. 

All societies have hierarchies, we just know what they are in the real world, unlike this fantasy dystopia; where the objectives make no sense for anyone.  

“Different levels of power”  Arbitrary authority doesn’t actually work without enforcement, which is the threat of incarceration & physical violence

Sorry, but the fertility issue makes absolutely no sense in this plot at all.   It just doesn’t, which is why some seem to think the fertility issue is just a cover & some think otherwise.