Through I don't think this is the case for any democratic country.
In the end bad police is normally better for larger societies then no police at all.
But at the same time bad police can do a lot additional damage. I.e. it keeps some sources of danger in check but at the same time adds a new source of danger.
Which is, I thing, one reason why some people believe they can do without police. The other reason is the thing below:
Law and order exists just fine in small isolated (but not simple) societies without police. Especially if the society mostly contains similar minded people.
Additionally you need neither law nor order in the modern sense for a small isolated but we'll working society. A common goal, respect for other people and implicit traditions can be enough in that case.
I also can thing of at least on model for a larger society working without police through some form of self policing and self survilence but that's much more distopian than the US system as far as I can tell.
I hear this a lot, but I have a really hard time imagining a functioning society with no police. A society can't function (pretty much by definition) without law and order and law and order has never existed apart from some policing apparatus (at least not for anything besides the simplest of civilizations). Our police are surely suboptimal, but I don't see any sense in the idea that we would be better off with no police at all.