They would just move to calling the procedure a violation of the "natural order" - "Lovecraftian horror", "Frankenstein arrangement", "something Mengele would do" - argue that it is akin to rape, create conspiracy theories about uteri being stolen, and/or invoke "Think of the children!"

I saw all of that already. Some of it in this very thread, some of it on the defunct /r/GenderCritical: I remember someone proposing committing suicide by volcano to keep her uterus out of "male [sic] hands".