I'm a liberal to (in that I would chop off both my hands before I was forced to vote for Trump) but there definitely is demographic culture war going on in the left itself.
The old far left of "the workers must control the means of production" has been replaced by the new far left of Marcusian identity politics that primarily resolves around gender & race, and they've been trying to work themselves into the mainstream of the Democratic Party & society for sometime now...sadly.
I went back to University for a refresher a decade or so ago, and there were some professors there that taught their students that gender & race, were simply social constructs designed by the ruling class to reinforce patriarchal white supremacist hegemony, and that's once that's been toppled, their lives will significantly improve.
That is why when J.K. Rowling tweeted that gender is a biological reality, the woke flipped out, went on a cancel culture campaign, and started to dissect her films for signs of whiteness & hidden racism.
That is also why they freak out and riot on University campuses everytime someone who challenges those views is invited to speak.