America has historically cared very little for the Americans the KKK killed. Judging by the commentary that arises whenever BLM is mentioned, it still doesn't.
When BLM is mentioned, I often see people criticize their methods, the underlying ideology of some members and their claims to truth. I have never seen anyone not care about black people being killed.
There is, of course, a possibility that I'm living in an opaque filter bubble and that the racist hordes are just outside. If I am, please pop that bubble and show me the truth.