Without a state, who would be collecting and redistributing the resources? And also, who would enforce it to make sure nobody skims off of the share they are supposed to pass on?
Without a state there is no property, mind you. The only thing you're proving is that the anarchists were better socialists (or at least better intellectuals) than the Marxists...
If what you say is true, then Communism is nothing more that Utopianism from a childish poorly thought out idea that is impossible to impliment. With no sate who ever has the biggest gun rules. People will figure that out soon enough. The idea that there is no state assumes that nobody will try to keep a little extra for themselves. And with a state to make sure that people do pay their dues. There is no motivation to work hard.
There are three widely recognized forces for social organization: self-interest, coercion, and association. Usually the "professional polemicists" will be found defending one of these against the others, claiming that theirs is the only one that explains "human nature" (and if they manage to persuade enough people they will indeed create societies based on their favorite principle).
Coercion (
currently in the form of states) seems to have been present through much of human history - but the odd thing is that it was an unstable thing, rulers always fighting rebellions, "states" very much powerless (and uninterested) to do more that collect taxes and wage wars. In western history for a long time political theory was dominated by Aristotle and Plato, and these were not supporters of coercion. Nor of anything resembling the modern state, then inexistent. In fact Aristotle divided constitutions between virtuous and non-virtuous, and it's obvious that the non-virtuous one are those which would require coercion to maintain (the others, being virtuous, presumably wouldn't need it). Thus was the problem skirted... The modern state is recent, the intellectual defense of coercion as a
legitimate political tool should probably be credited to
Hobbes.
Self-interest is also a popular principle currently, certainly more popular that when
Mandeville first proposed it as an explanation and basis for social order (and properly loathed by, among others, Adam Smith). I' won't comment further on this one, or I'd never stop...
But association has been unfairly neglected.
Small communities around the world have practiced it for hundreds of years successfully - in the absence of a state, for states, for much of human history, were nearly nonexistent, holding a tenuous rule, at best, over rural communities, and often failing to control cities entirely, as numerous republican city-states attested.
Yet rural communities managed to share resources such as land and water without armies of their own. And even cities experienced with rebellions and different forms of government, acclaiming and overthrowing rulers. Was that a situation where "the biggest gun rules", or one where people freely associated, made new rules according to their needs, and
sometimes stuck with those rules? It's true that association works better on a smaller scale, because it requires monitoring of the rules by the people of the community, but if other sources of social order can scale, why not association? We still practice it on our everyday life, whenever we reach (and abide by) agreements or rules that do not involve coercion or self-interest. The defenders of the "self-interest" worldview will claim that is self-interest, but I really don't have the time to go into that discussion...
My point, after this lengthy introduction, is: there are forces other than the state (coercion) at work in making human society work. Arguably any of these forces could do by itself,
for some time, but we'll tend to mix the three (coercion, self-interest and association) to get any kind of complex society working. This doesn't mean we need
states monopolizing the power of coercion. Coercion is just
one accessory to society, not the sole basis on which society stands. You were arguing as Hobbes did in Leviathan. Well, he was wrong.