Could you summarize what the BLM movement is? How is it that nobody knows that the BLM organization exists, and yet it’s activists are leading the movement and are usually the ones quoted by reporters? If you can come up with some sort of non-controversial version what the BLM movement is, then why is it they don’t repudiate the extremism of the official organization?
What you’re saying has all the hallmarks of a motte and bailey argument- extreme claims are made (the motte), but when those claims are attacked, instead of defending them you retreat back to more moderate claims (the bailey) as if that’s what was meant all along.