/lit/ - Literature

A left-wing defending the status quo is inherently conservative.
Claiming society has the right to police thought implies an abrahamic worldview of man as born pure, and later corrupted by impure ideas.
Man is incapable of discovering natural moral values, such as eschewing violence. He is instead compelled to do violence by violent demagogues, and if the propaganda for violence is censored, then there won't be any violent desires.

From this gnostic worldview, the only logical conclusion is that any "horizontal" information spread is inherently corruptible. There's a need for administrators, moderators, janitors in all information exchange. Because otherwise, someone with the wrong ideas might spread disinformation through the populace.

Hierarchy is right wing. Egalitarianism is left wing. There are graduations of views, but both are irreconcilable extremes. Either all men are born equal or man needs superiors.

In this sense. The american "left" is quite right wing.
Right wing in practice, not in theory. It aims to create an egalitarian societal structure by imposing increasingly hierarchical societal systems.
There's nothing egalitarian about imposing a priestly academic class on the populace. At least the communists had the excuse that state capitalism was just a transitory period.