Although there is more overlap between the anti-government types and lefties than they would both like to admit, we don't really have a libertarian sect beyond a vague correlation with thatcherism (But even then, outright thatcherism is still a think for the wonks - having any political ideology at all is depressingly rare)
Here in the colonies, most of the left regards libertarians as right-wing (and a good chunk of the right considers them to be left-wing).
It's illustrative of why simplistic right/left labeling is at best useless. You have to evaluate individuals - and media orgs - at a much more granular level. At minimum, three dimensions - natsec/defense, economics, social.