You write: "I will define right wing as authoritarian"

Wonderful! Then, according to your definition, North Korea, China, the Soviet Union, Cuba, and all the old Eastern European Socialist/Communist countries were "right wing". I am glad you clarified that for us. Or, were they perhaps not "authoritarian"-enough for you? 

Or, when someone decides for all tjat a certain word cannot be used and another must be, or that certain religious symbols, like a cross, cannot be put in public places even if everybody agrees that it can, or that a Christmas tree is not Christmas tree anymore but "Holiday tree," all these people are raving "right wing" nuts?