The problem is that a lot of US libertarianism is Koch-brother-financed astroturfing for the right (such as the Institute for Humane Studies, etc.).

So, I'd think that your left-libertarian position is somewhat rare, and most libertarianism is of the right variety.

Classical liberalism is a much better term, in my view. And mind you, Milton Friedman himself advocated for government intervention in many cases (natural monopolies, externalities, maybe even asymmetric information, not sure).