His usage of right and left are correct. For example, (dear god this is the third time I've brought this up in different threads, somebody stop me) my math professor who immigrated here from the USSR told me that "left wing" there means capitalism and democracy and right wing means socialism/communism.
Right and left wing do refer to people who on one extreme cling to social tradition, and at the other extreme want change at all costs.
Besides, even if we confine this to the US, far right wing means to most people Christian fundamentalist Reagan-style conservatives. Far right does not mean libertarian as you seem to be implying here.