Go for it.
The places I usually hang my hat, Texas, southwest, etc., would keep on marching along and the criminals would find that the absence of police would just hasten the justice aspect.
However, the jungles of the inner cities would become an actual hell on earth, and deservedly so.
Actually it’s already been tried in much of Detroit and Muslim majority neighbourhoods throughout Europe. When the police stop patrolling chaos ensues. Much of Chicago is already an impenetrable slum where the police act as body collectors, not law enforcers, because of the lack of cooperation from those they are trying to protect. America’s inner cities - like much of Africa - has returned to the law of the jungle. It’s worse than the Wild West because there are no good guys.