[foul]

>The right wing of USA politics claims this but clearly act in opposition to this claim.

Not at all. They just immediately embraced war dynamics. USA conservatives and libertarians (stop referring to right wing and leftism in USA, it makes no sense) view anarchy as their chance to fight for a fief or a monarchy.

EDIT:

>Also, “anarchy” is the most extreme is “leftist” politics.

Not really, it depends on whether you mean Bakunin and Foucault, or Thoreau, Stirner and Rand