I don't see the positives of having absolutely no police. A full reformation, sure, but that's not gonna happen. But you mind explaining?
In theory, with no concept of property, there's no need for police. This is how primitive , pre-civilization (i really dislike the connotation of the word, but for brevity's sake) society humans worked and still work, or how primitive animal societies work. There are no cops in the animal kingdom because animals have no property, they're extremely "equal" societies. The issue is not that it doesn't work (there are still pre-civilization human societies to this day, after all) it's just that their fitness or overall reward in the world is low. An organized society that accept concept of property and law will quickly overcome all other non-organized forms of living and multiply (and this is exactly why society in 10000 years expanded to levels unthinkable over the 100k + years pre-civilizations humans, with the ability to oppress your non-organized neighbours for resources as crucial for propagation/fitness).
In a structured society, you need some sort of negative reward functions for someone who break the organization and the laws, which theoretically are designed to optimize the fitness of the group (but as someone once said, a good reward measure cease to be the moment it is a target, so laws have to be constantly changing for that).
Else it would become an optimal strategy for some people to just screw other people for their own gains (and if you argue that's already true, i guess it probably is, but for different reasons, aka the inevitable degradation of the reward measure once it became a target). As an example, in the animal kingdom, killing pups and weaker opposing males is a common strategy because there's no drawback for your own potential rewards.
Modern society has also the huge issue that there's competition between states, not only citizens. So a state that had no deterrent (military/economic) force would be able to be overwhelmed, either militarly, or economically, if it were to declare itself against all kind of violence or protection of property. You'd essentially become a small city state in the face of an overwhelming nation superpower. There are examples, sadly, right now in the world.
