Interesting.
I was dividing social and economic liberty, even though I consider both essential to freedom. However, the liberals are just as authoritarian or more for wanting to ban guns than the GOP is for wanting to ban drugs.
As for your question, yeah, but Pinochet was a right-wing authoritarian. They do exist, though leftist ones are more common.
Personally, I'd still take anarcho-communism over a Pinnochet based free-market dictatorship, but anything short of that, and I usually care more about economic freedom than social freedom, and, while I happen to support the legalization of both guns and drugs, I consider the right to own a gun essential as its in the bill of rights, while I consider the right to use drugs an individual issue to be decided by your state.
In any case, I agree with the Republicans much more than the Democrats. The Libertarians are my favorite party though.