Using math to improve the effectiveness of the police is a good thing. This effort - however well intended maybe - would throw out the baby with the bathwater.
People who live in areas that experience high incidence of criminal activity also want to have crime reduced. They want someone to establish order—when you have a vacuum, someone will fill it, usually someone with even less oversight, though occasionally you can luck out with a benevolent dictator of sorts.
So yes people in those areas want policing —though they may also want some reform as well. Few people want no police. They know that’s a recipe for a power vacuum and the domino effect that has.
These instances are not the result of some nebulous ingrained tendency to view others as less than themselves, they're the result of a coordinated and deliberate attempt to assert power.
Your assertion that removing police would create a "vacuum" assumes incorrectly that there is currently a sense of "order" established. This is not the case, as there is no set of behaviors black men in particular can adopt which will not result in their extrajudicial execution. Police are more accurately viewed as an occupying militia and I see no reason to believe it would just as soon be replaced by something similar.
(Anti-Riot)Police see themselves as the entity that establishes order at the cusp of disorder.
When you have these kinds of confrontations (it could be internecine for all I care) you’re going to see that kind of human interaction. Neither person is a robot and thus the results are less than ideal.
What is worse is a power vacuum and the resulting gangs and warlordism (unless the community stands up its own local police force) but we’re back to policing.