Even if they don't like everything about him, conservative will still insist that MLK was right to say that people should be judged by the content of their character and not the color of their skin.
Right, there's nothing hypocritical about disagreeing with some of the more left wing comments MLK made later in life while agreeing with what he said in the I Have a Dream Speech. Hell, the left just does the same thing in reverse since they like his more left wing economic statements but
don't think people should be judged by the content of their character.
I also have no problem with the white moderate speech since he was talking about white people who were too cowardly to do anything about segregation despite knowing it was wrong and having relatively little to lose, much like what happened with slavery in the early parts of the country's history. He wasn't talking about the made up meme issues woke Twitter constantly tries to apply the speech to incorrectly.
And no, Malcolm X was not "way better" despite renouncing a few of his more questionable views shortly before his death.