Here's an interesting analysis of Libertarianism. Unfortunately in this article they start from a bias - the standpoint of how the Tea Party is essentially divergent from classic Libertarian ideals - but the analysis is sound.
"Libertarians' views on issues were a mixture of left and right in the conventional partisan lineup. They were actually more opposed to Obamacare and to raising the minimum wage than either Tea Party adherents or white evangelicals. But libertarians were far less likely to oppose gay marriage than these other two groups (though the majority, 59 percent, of libertarians still did so, unlike the broader public). Unlike the other two groups, the majority of libertarians opposed making it more difficult for women to get an abortion and favored legalizing marijuana and physician-assisted suicide—views that tended to align more with Democrats than Republicans. And while majorities of Republicans and Democrats support making it harder to access pornography online, libertarians do not agree."
Also, when you consider Libertarianism, like Mustachianism, an umbrella term, things start to make more sense. There are Minarchists, Anarchists, Left-Libertarians, Right Libertarians, Socialist Libertarians and even Anarcho-Capitalists. The only common threads are the ideas that government should be limited in scope and power as electorate/proletariat sees fit, and these limitations should focus on reducing government spending/increasing personal freedom. (This is a VERY simplified definition.)
So, like Mustachianism, the umbrella is quite large and there's room under it for everyone*.
*Except for the Tea Party - as liberal as I am, I just can't tango with that much crazy. Ha Ha. (Just kidding, put your guns down Patriot.)