I do not think the distinction is meaningful in the extreme. Are we really going to claim that Hitler's Germany and Stalin's Russia were in some way polar opposites?

The correct distinction is bigotry vs inclusiveness, freedom vs slavery, rights vs oppression. The murdered woman was a civil rights activist, peacefully protesting white supremacists. To lump her in with her murderer as an "extreme idiot" is to do violence both to her memory and to the entire history of civil rights in America. I condemn it in the strongest possible terms, and I respectfully invite the downvoters of my previous remark to explain why they disagree.