The commonly suggested alternative to the top-down authoritarian police we know today is horizontally organized citizen militias. In other words, a "police force" not beholden to the interests of the elites and the state, but by and for the common people.
If you're reducing terms to meaninglessness yes, "everyone's police."
The thinkers analyze the role police play in modern society. This refers to modern police forces that have their most direct roots in the late 18th century.
My point is, if there's no specialized police, you have everyone trying to be police, and, well, when every random person tries to do a technical job where peoples' lives are on the line, how do you think it's going to turn out? How do you think evidence is going to be handled?
The thinkers have a political point to make. Well and good. They'd do well to think about chains of custody and interrogation rules and why those things are important to having a society not run by capricious mobs who convict and then hold the trial.
I don't know where this is coming from but this "plenty" you've spoken to is not at all representative of the left-wing thinkers I've spoken to personally. There's no reason to drag politics into this.
