I appreciate Professor Drezner's thoughtful reply and apologize for the late response; too much happening, all directly related to our topic! Today is one hell of a day to post this, but I'll go ahead.
Cultural power isn't monolithic, either: there's the culture of The New York Times, CNN and the Ivy League, and the (counter)culture of Breitbart, Fox News or the Claremont Institute. Hence, the Tucker Carlsons and the Jack Posobiecs can get away with things one-tenth of which would get you "canceled" forever on the other side of the fence. But there is little doubt, I think, about which of these two worlds is culturally dominant today. Again, my concern is the growth of illiberalism within liberal culture—and the growth of stark polarization between the two cultures.
I'll conclude by coming back to a point I made in my first entry: the dangers of left-wing illiberalism include the fact that it boosts right-wing illiberalism—especially in the age of Trump, who thrives on culture wars. Can we stop or at least slow down this vicious cycle? Electing Joe Biden, a moderate Democrat, may be such a chance. But it can only happen if liberals have a clear-eyed view of the illiberalism in their midst.