The problem with anarcho-syndicalism (left-wing anarchism) is that it's impossible. People always want to rule over others. It's an instinct left over from evolution. Where there is anarchy, the next person to take control is usually very authoritarian (e.g. Franco), since nothing is stopping the strongest from simply taking power. Anarcho-capitalism might be possible because it would be a de facto plutocracy, but that is hardly an ideal society. Regarding communes, if someone wants to set one up that's fine by me (it's perfectly legal even in capitalist America), but when such communes are faced with opposition in a volatile political situation, especially from a right-wing authoritarian, they crumble, since they have little organization or wealth while the conqueror has both.

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"I am a Tory Anarchist. I should like every one to go about doing just as he pleased- short of altering any of the things to which I have grown accustomed." (Max Beerbohm)