Weeeeelllll, granted, they’re both African-Americans, but I’d say that’s where the comparison ends.
Neither were/are “African Americans”. There’s really no such thing (either you’re an American or you aren’t!). One is anti-American and one was an American Black man.
FWIW I have heard that MLK was a philanderer, and a mean one at that. Not sure it’s a great connection to have for the republicans other than the lineage between his and the conservative cause’s fighting against slavery and prejudice.