Rights for women, the LGBT and personal bodily autonomy are neo liberal goals. Trans rights antagonists and pro-life folks tend to work together more than they should - even when they end goals are so entirely opposing. Like when women join the far right and than complain when they're treated like broodmares and property.

Hence the comparison to a show/book about a society that was partially uplifted by women who had individual goals aligning with the extremist religious groups.

The sons of Jacob, the primary bad guy in Handmaid's Tale was a fundamentalist Christian group, that to gain power relied and antigovernment left-leaning activists to destroy the US and gain power becoming the Republic of Gilliead. The eventuality for one of the founders, a Conservative woman, when she wanted to be heard by the leaders, was bodily mutilations because she, a woman, had no rights. She's eventually iirc was killed for her 'treason' of reading.