You're partly right. But it's the job of the citizenry to stand up to this stuff, not the state. We can't keep our heads down and hope it goes away on its own. We shouldn't allow the state, with its monopoly on violence, to fight our social battles for us.
I dislike the idea of the state getting to start making decisions on what is "hateful". And I'm disgusted we don't have more people standing up and loudly declaring how wrong the hateful viewpoints are. It is our responsibility and we are failing.
It is a tempting proposition to let the state handle hateful speech, but we don't have to look much further than Florida to see what happens when the shit side is in power and starts redefining what is "hateful".