What is this jibber-jabber? (bolded)
Some set of laws which are decidedly not NAP.
Because anything else would not be AnCap, by definition. It may call itself that, but it would not be. Much like the current United States insists upon calling itself a Democratic Republic, though it abandoned those principles some 150 years ago.
The way I see it, you can implement aspects of AnCap, in place.
You can implement
the whole thing, as long as you don't mind breaking the law. (primarily the ones about not competing with government services)