Also, who would form the teams, manage their assembling, the process etc... next thing you know you have bureaucracy, next thing you know a semblance of govt. It's unavoidable, you can call it something else but it's still a governing body.
btw, this is a really nice discussion but my babysitter is pulling in the drive. I'll ponder it more as I sip at my bourbon ;-)
For example, say that someone feels they didn't get a fair trial; they had a complaint against a local business, but because the business was a very large employer in town, few were willing to fault the employer. This person might have good grounds for appeal, but who determines that? What about a minority that feels she was the victim of discrimination in the proceedings?
Edit: I should say, I don't think it's flawless, just less terrible than all other presently proposed systems of government.