As someone that lives in Oakland, I don't see much of a difference in terms of quality of life between when the police were beating people or killing people at BART stations compared to the extended amount of time we've lacked a police chief and the police as a whole basically disappeared.
I'm white, so the interaction with society during the completely corrupt OPD wasn't really ever a concern for me. I expect plenty of black residents are much happier now than they were then. I don't see MORE crime now than before, and I don't expect the police to ever show up if I call.
So, disbanding the police force isn't necessarily going to equate to complete and total anarchy. Most people don't break the law because we want to exist within the social contract that's established. Police can help enforce that contract, but they're not strictly required.