Its an election year and big tent politics are in the process of polarization. For some reason Republicans have a tendency of trashing the meaning of the political term “libertarian.”
Economic policy is not the whole of any political ideology and the idea that one can be an authoritarian-libertarian is a joke.
Don’t confuse fiscal conservatism for the whole of an ideology - especially when that ideology has a basis in anti-authoritarianism above all. In the end it is merely shades of anti-authoritarianism.
Left-libertarians are not often identified as libertarians (incorrectly so), but at the end of the day the word has less to do with ideology than it is a matter of simple political taxonomy. It derives from a person’s view of the roles of the state, the rest are nuances as to how liberties can be best attained.