I know no one wants to hear this, but as an Orthodox Jew and a GC feminist (who has particular concerns that the TRA movement could force observant Jewish women and women of other religious faiths into horrible positions) I find this very very frightening and sinister.
First, there has been a huge push by forces on the far right to exploit GC views in order to push a right wing agenda. I've seen lots of threads here that were overtly homophobic (claiming that teenagers can't be gay and that people are only gay if they've been groomed into it), threads attacking anything perceived as even slightly "woke" (like being against racism) as being aligned with trans rights and therefore bad, and lots of threads and posts advocating that we should support right wing men like Jordan Peterson or right wing politicians, even Donald Trump on the grounds "they know what a woman is!" Yes they know what a woman is so they know who to abuse and oppress. I won't tolerate the right exploiting our as women genuine concerns about the TRA to promote rapists and violent men who hate women and want to ban reproductive rights. It's horrifying. Men on the far right are not "GC", they are not pro-women, they just hate trans people and they hate natal women just as much.
Second, there has been some antisemitism in the GC movement. I loved the Helen Joyce book so much until the part where she started ranting that Jewish billionaires are behind the trans agenda. Yes, I know she tweeted that she's not antisemitic but as an actual Jewish person: yes, those parts are antisemitic. The libel that wealthy Jews control the world (hell, even the idea of "wealthy Jews" when statistically Jews in America have lower average incomes than almost anyone and most Haredi live in poverty) is extremely and actively dangerous. That myth directly, directly led to the Holocaust due to the German government blaming its post-Treaty of Versailles poverty on Jews and actively spreading hate propaganda claiming that German people were starving due to wealthy Jews hogging all the money, when the real reason was Germany having to pay such onerous war reparations after WWI. Joyce may not have intended her book to be antisemitic and she may not even have known that she was falling into an antisemitic trope, but she was, and it does real damage to Jewish people and Jewish women.
Anyone laughing at a swastika, or accusing Jewish women of "playing the victim card", or playing the whole "oversensitive Jews choosing to be offended" need to take a long hard look at themselves in the mirror and maybe pick up a history book.
Racism and hate against Jewish women is NOT ACCEPTABLE and has no place in the GC movement.