Impossible. Not bad or wrong or even stupid, but impossible.
If you have no police, everyone's police. How is that abolishing the 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.
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'm not sure how you could've assumed I meant "all" left-wing thinkers. Only that a significant amount have talked about it.
You're very much welcome to go-to Anarchist or Marxist circles and argue for the modern policing system though.