The last time I remember people prominently burning books in mainstream conciousness was the Nazis, including irreplacable knowledge like the IfS library by Magnus Hirschfeld.
The notion is so widespread among the right, Dave Rubin named his entire book after it. I have not seen anyone actually try to burn it, even though it is barely worth the paper it is printed on in my humble opinion (and the opinion of most critics).
Unless you want to include edgy atheists burning holy books, but that is provocation and not an attempt at censorship.
What's actually important is that none of the above fit well within contemporary US-centric understandings of "left" and "right". I say US-centric because some people center-left in the US would be considered center-right where I live - this is how fragile this dicotomy is.
From my outside the us perspective, both sides look psychotic right now. Or maybe psychopatic? Or both?