You are very confused Authoritarianism and Anarchy are two polar opposites. Communism, Socialism and Facism are all political systems that are very Authoritarian. Representative Democracy is far more liberal and closer to the classic western mould of government. In all states, supporters of the existing order are right wing and those who want to revolt are left wing. In Saudi Arabia a fundamental theocrat may be considered right wing while in the west a classic liberal may be considered right wing, it is context based left and right while neo-nazis were undeniably socialist and only right wing in the context of 1930 - 1940s Germany. Calling this guy right wing implies our state is a neo nazi state. Don't worry, many are confused by this by design. Socialists don't like being compared to Nazi's.
