"Banned books!" is a phrase used for marketing, but it's not really accurate. Most, if not all, of the allegedly "banned books" aren't "banned" in the sense that you are implying, and the "banning" isn't being done by the fedeeal United States government. You can go to bookstores and see entire sections of "banned" books, which as you might guess from the fact that they are freely sold are not in fact really banned.

I mean, book banning isn't a federal level thing (at least not at any remotely broad level) and typically happens either on one side of the political spectrum (same deal with LGBT stuff), or at the level of individual school systems. e.g. you won't find that book at the school library at most, but the bookstore down the street will have it.

Vast difference from the typical notion of book burnings and such.

"Objective" media exists (NPR, PBS(?), CSPAN) but just isn't as popular because biased media attracts more attention through confirmation bias and flashiness.