In days of yore, the King might have had something to say to his son about all this... my elderly English neighbours don't like Harry at all now, he's obviously appealing to millenials/zoomers with his cucked inter-racial / white-privilege routine.
However the monarchy is on eggs shells as it is, with all the talk of abolishing the house of Lords and transforming next year's coronation into a multi-faith ceremony, so it's not like King Charles could do much about this in public (assuming he does disagree with all this at heart, King Charles strikes me as a traditionalist), but he would fail in private also, as Harry is obviously distancing himself from the monarchy in general so he wouldn't obey his father even if he was trying to talk some sense into him.
The future of the English monarchy looks bleak indeed.