There is a strain of socialist activism in BLM (you saw it with the ridiculous "property crime isn't violence" stuff). But those were voices in a larger crowd, and the movement doesn't seem to endorse them explicitly.
There are BLM signs all over Oak Park and, I assure you, very few of these people actually want to defund the Oak Park Police Department. I think BLM supporters have more clarity on the issues than you give them credit for: they're standing in solidarity with black people who have been targeted for generations by a policing culture we all know to be fucked up. They're not looking to seize the means of production.