So when the local owner of a log factory decides he wants the land you're on his security force comes and takes it. If you have a problem with that you might be lucky enough to sue him in the court where he is the largest donor. How do you think they'll rule?
I'm just kidding! His security force is just going to shoot you and no one's going to be able to do a thing about it.
Why do you think that situation would occur signficantly differently under an-cap than it would today? Most local judges are beholden to local donors; what stops them from ignoring the law and allowing just this sort of injustice to occur today?
If your answer has anything to do with public opinion, or the judge preserving his own position, why do you think these things no longer matter under an-cap?
How long do you think a murderer's company would stay in business? Do you really believe it's the State that stops these things from being workable business practices today?