The true libertarians and anarchists in the room would call out the fact that they are attempting to build a world where governments don't run courts because governments don't exist and that all courts would be arbitration courts and decentralized and run by the community. If I have a problem with you, I tell my arbitrator about it, and my arbitrator tells you that I have a problem with you. If you don't like my arbitrator, then you choose your own arbitrator, and if I don't like the arbitrator you choose, then the arbitrators choose a third party arbitrator that they both agree on, and we agree to be bound by what that arbitrator says.
Edit: If you are willing to watch a 22 minute video, this might be of interest to you.