I don't view justice as a responsibility but rather as a right for the victim. Whether the victim stops the rape with a 9mm hole in the aggressors head, sends posse, or sends a judge to do it are private matter for the victim to choose not for me to dictate.

The problematic parts come up with how you pay the judge (stealing from 3rd parties), jailers etc and much the other stuff the state does. It would probably be more pragmatic to basically privatize the judge/court.