You're right, there's no association between the likes of FWS and extreme right wing/ religious fundamentalists etc. It's just 'What They Do' to try to discredit women who believe in what science says about human sex - binary and immutable.
As is often pointed out here, most [not all obvs] of the supporters of women's rights come from what would in the past have been considered a 'left' position - trade unionists, human rights campaigners etc. and are now astonished to find ourselves linked to the extreme right, and allegedly being funded by US-based extreme Christian fundamentalist right-wing groups.
In fact, one of the several running jokes on here that we are wondering where our cheques from US-based extreme Christian fundamentalist right-wing groups have got to because we still haven't received any and they could come in handy...😃
The most recent manifestation of it is that we are all Trump supporting transphobe bigots, because he issued some Executive Orders which happen to agree that human sex is binary and immutable🙄
I hope that is a fair summary!
Enjoy the day🍾