I think the TL;DR reading is "all those silly gender-critical feminists have poked the conservative right and now women's rights are suffering - really, don't they understand that trans/women are on the same side?"
Some interesting hypotheses (I'd like to hear more about how US conservative orgs are harnessing "anti-trans" donations to stop abortion rights because this is perfectly plausible and something I have been concerned about) but the piece is all assertation and conjecture with no evidence.