> Conservatives have very little control or influence over libraries

Conservatives have banned books from libraries across Florida and Texas (and other states)

> universities

Conservatives have compelled universities to reverse hiring decisions (at U. NC and one of the TX schools at least), end programs (e.g., Harvard's disinformation program), driven out university presidents (Harvard, Penn), and much, much more. In Florida they've banned certain ideas, they've undermined entire schools where they didn't like the politics.

> business HR programs

Conservatives have caused a huge pullback in DEI programs in the corporate world.

> broad media (excluding some notable explicitly conservative outlets).

That's a major exception: Fox News is by far the most popular news channel in the US; the Wall Street Journal is by far the dominant US publication for business.

> the ham fisted attempts by conservative politicians to combat purported progressive censorship

What does banning books and ideas from education have to do with combating censorship?