Mostly only illegal content should be removed.
And that's how you end up with a Nazi bar. Sure a swastica tattoo isn't illegal; nor is saying death to jews. But most people don't want to drink in that environment so if you don't kick (censor) the nazi's out then your business will not get non-nazi patronage (and maybe go under). The "free market" has determined that censorship is desired.
Idk where u from, but here in Russia it's not only socially unacceptable but is also a literal crime which falls under incitement of violence and rehabilitation of Nazi ideology.