Your common or garden libertarian will construct all manner of complex arguments as to how that isn't so, but there's really nothing in the philosophy which forbids it.
Here is a handy chart: http://en.wikipedia.org/wiki/List_of_countries_by_inequality...
You're claiming that no improvements can be made to a society that haven't already been tried in some other society. This is an absurd claim.
No, because there aren't any.
I'm asking for actual evidence that there is a current place where this libertarian ideal exists, and is better than the government we already have in place here in the USA. If you don't have any examples then it is still just internet fantasy talk and not of much use.