Both "wokesters" and "anti-wokesters" are exactly the same and behave identically badly at extreme ends.
Extreme "anti-wokesters" are equally caught in purity spirals where every word and thought is policed for evidence of Unacceptable Opinions, and literally nothing matters except slavish adherence to the ideology. I consider myself gender critical but the extreme group think, the way other women's words are scrutinized for the tiniest hint they have "drunk the KoolAid" (drinking the Kool Aid meaning believing TWAW, and therefore a hater of women, and probably two seconds away from abducting women on the street and selling them for parts) and anyone considered to be insufficiently GC is cancelled instantly.
Yes I know that "wokesters" do this too, and the massive gender double standard (where men can abuse or even kill transwomen and basically get away scotfree, while women can't even demand the right to consent to sex without being mass abused and smeared as a T**F) is despicable and an example of how the MRA has infiltrated and is using trans issues to attack women. But extremists on both sides do it.
There are posters who are so single-minded about trans women they are on the record as saying they would rather vote for a extreme misogynist serial sexual predator who's been accused of sexual assault/rape by something like 30 women, been accused of sexual assault by CHILDREN, who used rape as a form of marital "punishment", who is on tape bragging about "grabbing women by the pussy", who has spent the past four years doing everything in his power to deny women basic rights like reproductive rights, and is generally the worst horror show imaginable for women - some GC posters would vote for him purely because Kamala Harris puts the words "pronouns: she/her" in her social media profile indicating that she possibly maybe hypothetically might not be 100% anti-trans (never mind the fact she may easily have included that in her profile only because she felt pressured).
If you condone and support a serial rapist who actively attacks women's rights just because his opponent puts "she/her" in her social media bio you have fallen very far down a purity spiral.
There's also clear evidence that far right groups including white supremacists groups exploit and co-opt GC feminism and try to align the cause of GC feminism with right wing ideology in general, both in an attempt to bolster support and soften their own message, but also IMO often it's an insidious attempt to attack GC feminists by painting us as racists.
I've seen loads of threads on MN about race/racism (that literally didn't mention anything about women's rights, trans, or feminism) that have been taken over by people making very convoluted arguments that basically boil down to, "Anti-racists are Woke. Wokesters are also pro-trans. Being pro-trans means you're anti-women. Ergo anyone who is anti-racist is against women. Ergo if you support women's rights you must be pro-racism. Yay racism!"
Arguments about "woke" always wind up being dominated by discussion about trans issues, even if the original debate was something else. It's totally wrong and a bad faith tactic to bring trans issues into a thread about racism or a thread where black posters are sharing their personal experiences of racism as a way to undermine and attack them.