Words have multiple definitions in dictionaries and in ordinary speech, which definition is assigned depends entirely on context. For example "feet smell and noses run". Scientists and lawyers have one thing in common, they are very careful about definitions, they tell others which definition they are using upfront, it doesn't have to be interpreted through context. It's an exacting and fully transparent tradition in Science and Law. Clinton's lawyer debating the definition of "is" for 15min is a fine example. The quantum property of "colour" is another one from the Scientific world.
Using the same rules for a state and a person ignores the basic nature of political power and leaves brute force as the only method of arbitration. The existing state would lose any and all authority and instantaneously collapse (re: looting of Iraq after US sacked entire public service), the power vacuum left behind would very likely be filled by the kind of people you fear most, heavily armed 18-25yo males who have just one rule for everyone - "might is right". Like Humpty Dumpty, they have no use for dictionaries, to them a word means whatever they say it means, and they will execute and torture as many people as it takes to demonstrate their point.
Aside from that the very thing you suggest happened on a smaller scale when I was at HS. The largest internal migration in US history was in the early 70's when hippies left cities in droves and started up communes on shared private land, a similar social phenomena occurred here in Oz. They had the same "no one is in charge" ideology, rules were simply "discussed" by the group rather than defined and enforced by the group. Very few of these communes survived more that 2yrs.
The most common cause of commune collapse was not financial woes or lack of soap, in almost every case the commune collapsed when the "natural leader" in the group filled the power vacuum and basically bullied everyone else out of their legal share of the land. By the mid seventies the migration had gone full circle and the hippies were mostly back in the cities, albeit older, poorer, but a lot wiser about human nature.