I'm going to disagree with you there. There's plenty of white shame, white guilt, white apologists for everything from white privilege to slavery to racism whether or not the white individuals had any role in anything to apologize for.
White cops feeling the heat for the actions of other white cops, whether warranted or not.
Whites of various ethnic groups or religions who feel that they are judged by the actions of other members of their community, regardless of how closely related they are to those particular communities.
When Rodney King got beaten, my black partners didn't cringe at what he did. They were angry about what was done to him and that anger made them lose sight of the atrocities visited upon Reginald Denny who was an innocent party.
It caused some hard feelings between good friends...to the point I felt they should turn their badges in if they couldn't be color blind. But we got past that and friendship overcame that setback.