Have you been to texas?
I have, and i tell you, the sheriff and deputies make their presence known, especially to outsiders.
Maybe different in large cities, but in small towns, they don't mess about.
Lots of civilians with military style weapons helping the cops patrolling the streets.
And yet the have so much crime that they lock up more than 1% of the adult population.
And a murder rate of 4.6 per hundred thousand
Does it work?
Go away and see how that compares to the county you live in.