Take this as sampling bias if you will, but most of the well-reasoned argument that I've heard from libertarians or anarchists are really just arguments that we should go back to building societies on the scale of city-states, and stop having them on the scale of the US.
Scale is where the comparison between those two will break down. The first is power-assertive on an small scale (usually individual). The second has no scale, because the driving motivation would be the questioning of any power structure (not necessarily destruction, as it's usually stereotyped). But I'm describing the textbook version here, not everyday interpretations.
(Edit: i was trying to keep this out of quick searches, but to be clear, lib-----ian vs a-----ism ;)
