I feel it worth pointing out an important distinction between censorship coming from "the left" vs. that coming from "the right".
On the left, when someone uses a racial or sexist epithet, for example, the reaction is to exert social pressure against that individual. Social media escalates that to a giant dogpile, which, in some cases, results in some extreme cases where the individual loses their job in addition to becoming a social pariah.
However, all of this is merely an exercise in free speech and free association. The person in question suffers no legal consequences for their speech. Instead, it is a large number of onlookers who decide they disagree with the individual and choose to counter him/her with their own speech and/or dissolve any association they have with him/her.
I won't say I condone how little it takes for the crowd to react sometimes or the extent to which they do, but everything is well within First Amendment rights of free speech and association.
In contrast, when something the right doesn't like is discovered, they take legal action. Books are removed from public and school libraries. Laws are written to target anyone who is guilty of the offensive speech (e.g., Florida's Don't Say Gay law). More recently, it's been popular to write these laws such that the offending individuals are opened to civil suits by third parties rather than suffer jail time, as a loophole trying to avoid the Supreme Court striking them down as blatant First Amendment violations.