A lot of the US government would be called anarchist if it was a proposal from a radical rather than the current state of affairs:
1. Criminal trials via random lottery of jury with the charged being viewed as innocent until proven guilty.
2. Checks and balances, where governmental power is intentionally limited and weakened.
3. A system of federated governments that elect representations, with a design favoring minority members of that federation.
Anarchism is always a balancing act between legitimate power and limitations on that power. Most forms of Anarchism do not reject all forms of power as illegitimate but rather place a heavy burden of proof on the claim that legitimate of the use of power.
I disagree with a lot of what Chomsky has said but I do think his definition of anarchism was very well stated:
"Well, anarchism is, in my view, basically a kind of tendency in human thought which shows up in different forms in different circumstances, and has some leading characteristics. Primarily it is a tendency that is suspicious and skeptical of domination, authority, and hierarchy. It seeks structures of hierarchy and domination in human life over the whole range, extending from, say, patriarchal families to, say, imperial systems, and it asks whether those systems are justified. It assumes that the burden of proof for anyone in a position of power and authority lies on them. Their authority is not self-justifying. They have to give a reason for it, a justification. And if they can’t justify that authority and power and control, which is the usual case, then the authority ought to be dismantled and replaced by something more free and just." - Noam Chomsky