I actually do get a vague answer to this question from the radical leftists on my social media and it goes something like this: we will live in anarchist communities where traditionally oppressed narratives decide wrong from right. Those who occupy traditional privileged/oppressor identity groups in the West are both subconsciously (no idea if this draws from Freudian ideas) and socially constructed to be oppressive in ways they are not even aware of, the only real social good is ending oppression, so the “winner” of all debates is the person who makes up more oppressed categories than you (or simply occupies the relevant “oppressed” category in the topic you’re talking about). This would apparently be enforced by “the community” (seemingly in practice a handful of militants versed in radical theory, so a government).
10 years ago this would have come across as a paranoid right-wing strawman of radical leftists but today it seems to be more-or-less the vague consensus among the young extreme leftists I know. An even smaller handful have even posted articles on my Facebook coming to the somewhat logical conclusion of this line of thought that if social constructions alone create reality, and if oppressors are constructed differently from oppressed groups, then they are also psychologically and biologically inferior (or at least different) as well (one such article shared by a Dartmouth student activist: https://selfishactivist.com/why-white-people-cant-dance-theyre-traumatized/), a position that uncomfortably somehow co-exists with the radical social constructionism.
I think it’s safe to say this ideology will never actually take power, of course, so they don’t directly concern me too much except for the possibility of them helping leave the radical right in a position of perpetual power or maybe becoming totally unhinged from reality and going full Weathermen Underground/Symbionese Liberation Army, though I doubt that as well since 80% of them are middle upper class kids with bright futures, some no doubt already looking forward to making a tenured living propagating left-theology radical postmodernism for the rest of their lives and writing for Teen Vogue-esque sites (or maybe just Teen Vogue itself), so I would be honestly surprised if they risked throwing that away for a doomed cause.