I came across this piece and wanted to share it since I think it addresses some of the misconceptions out there that some hold when it comes to especially the social issue aspect of what most Libertarians believe:
Libertarianism is often thought of as “right-wing” doctrine. This, however, is mistaken for at least two reasons. First, on social—rather than economic—issues, libertarianism tends to be “left-wing”. It opposes laws that restrict consensual and private sexual relationships between adults (e.g., gay sex, non-marital sex, and deviant sex), laws that restrict drug use, laws that impose religious views or practices on individuals, and compulsory military service. Second, in addition to the better-known version of libertarianism, right-libertarianism, there is also a version known as “left-libertarianism”. Both endorse full self-ownership, but they differ with respect to the powers agents have to appropriate unappropriated natural resources (land, air, water, etc.). Right-libertarianism holds that typically such resources may be appropriated by the first person who discovers them, mixes her labor with them, or merely claims them—without the consent of others, and with little or no payment to them. Left-libertarianism, by contrast, holds that unappropriated natural resources belong to everyone in some egalitarian manner. It can, for example, require those who claim rights over natural resources to make a payment to others for the value of those rights. This can provide the basis for a kind of egalitarian redistribution.