I think they just see everything through the prism of "trans rights".
We see it all the time in the mainstream media. Every time JKR says something about women's rights, it is reported as her "views on trans rights", often with an adjective such as "controversial" even though nothing she says is actually all that controversial.
It's as though they can't understand how someone can take a view on something like women's rights or child safeguarding, which has an impact on some of the things trans people want, without putting what trans people want front and centre, as the primary consideration.
If you say, as I think most people would, if pushed, "Yes I agree that trans people should have equal rights and be protected from transphobic hate, but I don't agree that they are more important than women or children, and when someone's wish to be seen as their preferred gender has a negative impact on women or children I think the women or children's needs should be prioritised", they cannot cope.