You use the term "hate speech" far too liberally. Saying something offensive isn't hate speech. Saying something that doesn't take the experiences of certain groups into account isn't hate speech. Making shit up isn't hate speech. And yet that's the kind of speech that people are trying to restrict.
If anything, the attempt to suppress speech is what leads to the rise of populism, when new politicians can attack the establishment for suppressing traditional views.
She cites them grossly out of context and conveniently leaves out data that contradicts her neat narrative, something any reasonably informed person would spot. Of course her audience aren't the reasonably informed. As for her arguments being persuasive: to who? She preaches to the converted. Universities aren't the places to learn how to be deceitful; plenty of other places to pick up that skill.