Please provide the legal and judicial framework to force them, then.
I cannot think of a way. I really want to know how you think Twitter, Facebook and Youtube, given the plethora of Millennial SJW moderators, public and hidden, that are embedded into these companies.
If any thing, I see it getting much, much worse.
Well, I'm not a lawyer and I didn't sleep at a Holiday Inn last night but if I was, I'd say let's start looking at the laws that give these sites protection under the definition of being platforms and not publishers, laws like the DMCA.
If I post something illegal on Twitter, CEO Jack Dorsey isn't going to go to prison. He'll argue, correctly, that the DMCA protects him because Twitter, as a platform, is not responsible for what its users post.
Except... When Dorsey starts censoring posts that are otherwise perfectly legal, Twitter becomes a de facto publisher and should be held to the same legal standards that other non-platforms are.
Let's start there. If you want the legal protections offered to platforms, you need to get out of the business of censoring legal speech. If you want to censor speech, then prepare to be treated as a publisher, held responsible for everything posted on your site, and lose the protections offered to platforms under the DMCA and other similar legislation.