Libertarian is not left on social issues

[Tiberius]

The libertarian view of social issues is similar to the left's view of social issues in outcomes, which is why it is easier to say "socially left" when describing positions, but the implementation differs. Both libertarians and liberals believe gay marriage should be legal (that is, the government should not prohibit it), however whilst liberals want the government to outright legalize it, libertarians believe marriage should be a union between two people that shouldn't have to involve state recognition in the first place. Similarly, both libertarians and liberals want marijuana legalization, with liberals believing it should be taxed by the state as cigarettes are, and libertarians believing that the government shouldn't be taxing cigarettes in the first place.

The hate speech issue is an interesting one, because it's one where liberals have bastardized their own view of a freedom, namely freedom of speech. Liberals like to say they support free speech, but when they support laws against hate speech, their positions contradict each other. A libertarian would argue that you cannot support freedom of speech and also support laws against hate speech, because hate speech is protected due to freedom of speech. The whole point of freedom of speech is that you should not be arrested for something you say.