First, Rubin says ...
"[Progressives are] banning speakers whose opinions [they] don't agree with from college campuses. That's not progressive."
I'd agree! And again, so would everyone I've ever met! Refusing to listen to anyone you disagree with is not only "not progressive" -- it's borderline insane and completely impractical. But it's also not what "progressives" are fighting for.
Yes, sometimes a college will invite a controversial speaker to their campus, and students will petitions or protest or otherwise demand that that speaker not be allowed to come because they don't want to be around them. Other times, a college will invite a speaker, students will organize protests because they disagree, and the speaker will withdraw on their own because they don't want to be around protests. Still other times, colleges will invite a musician to play, students will complain because they don't want to see that musician and would prefer their tuition dollars were spent elsewhere, and the college administration will revoke that invitation.
If having strong opinions about music is censorship, call me Joseph McCarthy.
Those are three totally different situations, but the Foundation for Individual Rights in Education (FIRE), a nonprofit that fights against this plague of supposed anti-free-speech activism, lists all those types of incidents (and more) as "disinvitation attempts" on their website.