There is an alternative explanation for the observations of "horseshoe" theory. One of the examples often given by that theory is how both far-right and far-left is more authoritarian compared with mainstream. To me the better model would be viewing the current political paradigm as being extreme about individual freedoms.

In other words - when you are at the south pole every direction is north. This tells us more about where we currently are, and not about the similarity of those other directions.