To be fair to ACLU, they have good record defending speech no matter who talk. The did care about civil rights groups speech as much as KKK.

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.