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Any model of anarchy simply results in small collectives of power that over time coalesce into larger collectives, which become governments. This is how society happened the first time around. Why would you possibly think you can prevent this should it happen again? You can't just NOT HAVE ANYONE IN CHARGE; a civilization cannot function that way. Hell, a book club with five members won't function that way.
You'll note that there really isn't any such thing as anarchist movements in countries with good social welfare systems. In those countries, their taxes actually go to stuff they use like free higher education, state healthcare, and city beautification; they have no problem paying their taxes. Contrast that to in America, where taxes go to bailout corporations, to line the wallet of billionaire CEOs, and fund the military industrial complex. Plus there are no worker protections so everyone ends up underpaid and overworked.
Really, the question I will provide is actually a rhetorical one: why the fuck are you proposing eliminating government, when the reality is you just want a government that functions properly?