In fairness, many self-identified libertarians seem to have the same issue.

No, I actually view anarchy as potentially workable [1]. American libertarianism is closest to Ancap. I find them both unworkable for the same reason.

[1] Probably to complex too explain here but the key is that Government and money depend on each other. You can't have one without the other.

I think you may be confusing "anarcho-capitlism" and "anarchy." (and "anarchism," for that matter, though I guess this isn't the time and place to argue over "is an-cap anarchism?")