It starts here where the big social media companies test the waters, but soon it will expand to far more commentators. This will include Conservatives and right-wingers, but I think many on the Left underestimate how much it could negatively impact us too. Who is to say that a company will not be run by a former cop one day who will ban on the BLM groups? Let alone Anarchists and Communists. Lots of people could be considered offensive by other groups, and a lot of time more oppressed people have less of a say, ironically making the left's effort to censor Jones counterproductive in the long run.
And for what it's worth, I think Alex Jones is a fraud and I'm still saying this. If people want to sue him for defamation that's fine, but let it go to court, not just unilaterally decided by some faceless corporation.