As someone who is an unorthodox leftoid on many issues (but not wokeshit) I can give you my general impressions. Short story is its actually a much larger divide than it appears from outside.
There's a kind of old school Marxist (jokingly referred to as Paleo-Left) that absolutely loathes postmodern gender stuff and also sees mass migration as negative for workers. You often see them say stuff like 'name a socialist state that abolished prisons, borders, etc'. This faction is solidly on Team TERF. They will be happy to see the issue disappear entirely as its viewed as an annoying distraction/lumpenprole concern.
The 'MAGA Communists' feel the same as above, but are also a meme ideology that often takes socially conservative positions to be contrarian/differentiate themselves across the board as a general principle. They will keep dunking on troons even after it becomes passe.
Then the other side, which is performatively far more radical on social media but whose politics are much more lib-compatible in general, is militantly, obsessively, TRA. It is on some level their main screening issue. This faction is larger and also very very dumb. Teenagers and reddit kidults mostly. They will die before ever giving up this central tenet of their ideology. They are, despite the symbolism they adopt to piss of their parents, basically just postmodern liberals. Sadly, this is the largest faction on the contemporary post-Occupy left today, but it seems to be shrinking. Also, the more unpopular troonery becomes the more they will take it as proof that they are brave and righteous in the face of mass ignorance and they will probably only get more extreme.
Liberals, who I would dispute are meaningfully left but are coded that way in Anglo societies, seem to be pivoting away from trans stuff but as quietly as possible. Just enough to say 'everyone else will kill you but we will protect you so vote for us' to them, but otherwise trying to avoid the issue more and more with time. I think the polling data finally got through that this issue is a loser/gift to conservatives. This is a very large group of people so I suspect overall we will see a mainstream pull away from trans stuff at the national level in time.
One exceptionally tiny faction that is worth mentioning anyway because its so funny are hard tankie left/woke hybrids. Despite what rightoids think, this is a pretty rare combo in my experience but it produces a unique pathology. Basically, people who support any country that hates America and its allies but wokely and still really into culture war stuff on the domestic front. Ignoring the fact that many of those countries are more conservative than the US creates hilarious contradictions like being obsessed with 'literal nazis and bigots' in gaming and cancelling western games for not being progressive enough while also being silent or praising Black Myth Wukong because its Chinese. I think these people are just going to have mental breakdowns and subdivide over which issues are more important.
