Lets break this down. I do think US liberal thinking about race, gender/sex is a key aspect in this, but it is race and gender as defined by them. There is a reason that American liberals treat trans/queerness as the most important aspect of identity anyone can have, the key to ultimate victimhood status.
Remember this about how William - "Lia" Thomas a straight white man from a privileged background attending a Ivy League University studying to become as lawyer is more of a victim because he has a fetish about wearing a dress than a black woman from the projects, a Latino woman immigrant, or a white gay guy who lives in a trailer park.
The reason is trans/queerness is an identity ANYONE can claim no matter how wealthy and they instantly become a victim. Loads of surveys show Ivy league Unis in the Us have a very high rate of people claiming to be LGBT. This is because privileged Americans instinctively see how they can use it as the ultimate prop to their status. It is a cliche now that Hollywood elites have trans children. Why now? Why not in the 90s? Because NOW it is a hugely advantageous status symbol. In fact as Republicans attack it it becomes even more valuable as a symbol of being liberal.
A white man in a dress is MORE important than anyone else, though of course latino and black guys can play the dress card as well. This is a disaster for women of all kinds but especially for black women. Why? Because in the US sports scholarships in hugely important for poor kids wanting to go to college. Say you are black girl wanting to get a basketball scholarship. Bad luck a huge chunk of those scholarships will be going to white men all the glory in the games. They don't even have to change their name - as the white male "trans" guy Henry Hanlon has shown:
Fury as transgender high school basketball player dominates rival girls' team
https://www.dailymail.co.uk/sport/othersports/article-14292603/transgender-high-school-basketball-henry-hanlon-san-francisco-waldorf.html
If allowed more and more poor girls will give up on sport as boys take all the prizes and money. Girls struggle to get sport anyway now they lose it:
https://www.womenssportsfoundation.org/do-you-know-the-factors-influencing-girls-participation-in-sports/
The comparison with Abortion is important and needs to be discussed. The Republicans have been coming for abortion for decades - Democrats didn't prioritise it. Thus it was lost.
Compare all the dodgy stuff Biden tried to ensure the boys and men could win at women's sport, compare the time Democrats in Congress and state level are doing to ensure that women lose sport, changing rooms, prisons etc to what they are doing on abortion. They are trying EVERYTHING to keep this thing going. That is what AOC is saying. Men in dresses are the ultimate women. They must be prioritised.
Why must men in dresses get to have women's sport, but women lose control over their own bodies?
How crazy and sexist this is obvious with deeper thought.
Sport is the biggest cultural industry in the US worth billions and billons of dollars because American men of all backgrounds are obsessed by it, women's sport is still pretty marginal. This is why Trans women in the states are SO obsessed with it as symbol. They are so masculine in thinking they can't imagine their sporting success isn't the most important thing in in the world.
The irony is that because sports is such a male thing it is where the TAs lose most guys support - notice the number of Democrat men who will speak out on this. Many Men are totally fine with men in dresses in women's prisons, changing rooms, toilets, experimenting on weird kids. They draw the line at sports. Because Sports whether watching or participating are key to their own sense of identity. The fact they are stronger and faster than women is REALLY important to them.
Anyway as long as Democrats think any man in a dress is more important than ANY women no matter the background they are going to lose support. It is obvious.
The crazy thing is many "trans" people don't even agree with this stuff. A big chunk of the small trans vote is going to go Republican. See Bruce Jenner lots and lots like him.