The interesting history they don't teach in schools

[Cato]

That's your mistake, it's not "my" system. I don't make absurd claims like I can paint a schematic of a magical new society. No, but what I did provide is a number of non-authoritarian or less authoritarian alternatives, and you just knee jerked to dispute resolution. 

But okay, dispute resolution. Restorative justice, look it up, there's tons of material out there (the Google genie will enlighten you on how we can do a better job of resolving disputes).

I'll even help you, here's a wiki article:

http://en.wikipedia.org/wiki/Restorative_justice

Also, you might want to look up alternative dispute resolution. So we already have plenty of alternatives to the state. Private parties, communities, etc., can in fact resolve their own disputes. Amazing right, who would have thought anyone could even exist without an Uncle Sam sugar daddy

First, when I say 'your system' I am indicating that you are proposing an anarchist system of government and am in no way implying that you personally conjured up a unique take on the idea. I also did not 'knee jerk' to dispute resolution. I was quite clear that this is a flaw in all proposed anarchist systems because it is something that is never adequately addressed. Your doing a fine job of supporting my claim.

I happen to agree with the idea of restorative justice, but it is not a form of dispute resolution. Restorative justice deals with restitution for a wrong committed, not determining fault or liability in a dispute.

You then wave your hands at alternative dispute resolutions which I am intimately familiar with in my profession. Care to share your ideas of what happens when these don't work? I don't understand your expectation that alternative/informal forms of dispute resolution will work if we remove the state judiciary when they frequently don't work resulting in complaintants seeking redress in court.

Now, let's try again. Knowing that informal/alternative forms of dispute resolution don't always result in consensus or agreement, what takes the place of the judicial system in an anarchist system?