@DadJoke If you disagree with the Catholic Church, the far right and Christian extremism on everything apart from transgender rights, maybe it’s your view on transgender rights which is the issue.
You raise a very interesting point, Why is it that the US Christian Right and the TERFs of TERF Island share a strong belief in the reality and importance of sex, and the irrelevance of so called gender identity?
Could it be because they both know exactly which class of humans is subjected to oppressive gender norms so that they can be used and abused, primarily for the purpose of sexual gratification and procreation, by men? (Only differing on whether this is a good, or bad, thing.)
The Right objects to transwomen because they are gender nonconforming (and, perhaps, because they are claiming rights that even other men dont have). TERFS don't have a problem with them, provided it's taken into account that they're actually men. There is no such thing as transmisogyny.
The Left, on the other hand, are in la-la land. They never saw an underdog they didn't like, and transwomen are no exception. (Also see: CNN's unscientific insistence that Caster Semenya is a victim of misogynoir rather than just, well, male.)
When it comes to women, their support begins and ends with abortion and contraception. They're happy for women to be prostituted, and used for porn and surrogacy, in the name of 'empowerment' (whereas radfems consider this to be exploitation, and the Right thinks the women are all Godless sluts).
And they're happy for women to be forced to validate transwomen and cede their sex-based rights to them. This fact alone proves that they know exactly who the men are.