What the hard Left want to do is to de-legitimize certain viewpoints. That is, they don't want to say, "You're wrong, you're mistaken..." -- the way the old-fashioned liberals and conservatives used to argue about welfare, or invading Iraq.
They have the 1984 approach: they want everyone to be compelled to pretend to believe what the hard Left believes, or to stay silent. And this includes 'performative' speech like backing a cake celebrating gay marriages.
It's the same mentality that they bring to campuses: they don't debate us, they try to shut down our meetings.
It is, of course, inconceivable now ... but if they get the strength, one day they'll be closing down our publishers and printed journals, and our websites, for 'hate speech'.
They've got certain contradictions, though. Muslims are one of their victim groups, but Muslims tend to be very socially conservative ... which they sometimes express in very direct ways. But the way to expose the hypocrisy of our totalitarian Left is to ask this simple question: Should a Muslim baker be forced to bake a cake celebrating Israeli Independence Day?