There was a fair amount of opposition to identity politics from the extremes of anarchism. One essay I recommend is "The Poverty of Feminism". Although it is old, from the 1970s, the criticisms touch on what is essential and even prefigure some of the memes of Chad and the confused desires of women, the reluctant Stacy.
"If the rapist were Tarzan, perhaps he'd be forgiven." And this in the context that most rapists are immigrants or poor men, that rape is rare but used by feminists like a marketing technique, and feminists commonly held and shared rape fantasies in their groups – which suggests a type of repressed politics denying force and power, but also a movement based on psychological manipulation and illusory ends. There is even some criticism of abortion.
Of course, the argument falls apart in the same way anarchist positions always do: with the focus on desire and the insistence on formalistic freedom. Anarchists can never make the connection that their final position is only a crippled form of state power and law.
Nonetheless, it is an interesting essay and there should be more research into the inability of both left and right to respond to identity politics.
https://theanarchistlibrary.org/library/dominique-karamazov-the-poverty-of-feminism