Something as important as healthcare cannot be left in the hands of monopolistic bureaucrats.
Go to a freer place like south east Asia and see the private healthcare there, it'll blow your mind.
What if a state court says that the murder was accidental and doesnt punish the neighbor? In the state system you cannot do anything about that. In a free system the entire village might come for your defense.
You do notice that you repeated the main premise of the question, so I'd suggest you contemplate and broaden your imagination. You don't need to steal to get healthy or get justice!