What alternative? You said without State people will be knocking each other over the head with wrenches. Then you say in a State, you've been victimized. So what's the difference?
Most common services can be privatized and run by the community. Where I live firefighters are basically volunteers, and traditionally so were the neighbor patrols who policed rural areas.
If you want to hunt someone, after the fact, you can hire a professional bounty hunter or a private detective.