Not entirely true - the reaction in the UK to this whole incident has been quite negative from what I've seen. Then again, we're not overly happy with our press at the best of times...
People are not happy with the press hounding people to suicide. The Daily Mail has a nasty track record of outing LGBTQ people, for example.
If misogynists and abusers want to go and construct their own forums, nobody can legally stop them (as long as their discussion stops short of the various sorts of criminal speech, like conspiracy to commit). But nobody is legally obligated to support them, either.
Reddit tomorrow could say, "Welp, we're not going to host people who cause harm in way X". And that's perfectly American because they'd be exercising their own rights. That they choose to support abusers is legal, but it is well within everybody else's rights to point that out, with volume and at length.
Reddit could censor all instances of discussion featuring the phrase "hackers news" tomorrow, and it's not as if they would be brought up on freedom-of-speech charges.