Many people on the left are either all in with the "speech we don't like is hate speech" program or very close to it. They are also in agreement that "hate" speech shouldn't be legal....the constitution be damned.
If "certain" people all get together and agree that , well, you know, there's some speech that shouldn't be allowed, then the floodgates to totalitarianism are opened.
Dem pols would be more than happy to unlock those gates.