the song is criticizing politicians and blind followers and is more left wing than right
This is easily the most bizarre take on both Killing in The Name and Rage that I have ever heard. Let's, um, clean that up a little.
Rage Against the Machine are openly and explicitly socialist in their politics. There is nothing even slightly moderate about them. "More left wing than right" is a wild understatement.
Killing in The Name isn't some vague critique of, like, politicians and stuff, it's a song that is explicitly about the shockingly large intersection between white racism and police officers.
The main hooks are the lines "Some of those who work forces are the same that burn crosses" and "For those who died are justified, for wearing the badge they're the chosen whites."
The song and bad are both infamous for being popular with alt right, MAGA and libertarian types, but that infamy comes entirely from the fact that it's so insane that these people are listening to music that so thoroughly disagrees with them. A bunch of MAGA screaming "Fuck you I won't do what you tell me" says nothing about Rage's politics and everything about their extreme lack of media literacy.
(This is not to say that Tom Morello / Rage agree with left wing consensus on everything; they were pretty openly against vaccine mandates, for example. But their overall political position very much sits on the far left)