I actually know quite a few people with conservative/right-wing or centrist/liberal views who think what was done to George Floyd was terrible. Fighting the state should be about reaching as wide an audience as possible (i.e. winning the Gramscian war of ideas) not pigeonholing people based on broad assumptions even if the assumptions are sometimes true.
If your core values are in support of capitalism then in one way or another you’re supporting the divisiveness of the capitalist system and the systematic cultural oppression that goes along with it.