This is completely wrong because you are defining political ideology by economics and individuals rights alone. There's more to it than that.
Putting Fascism and Theocracy in the same basket as Communism and Anarchy is hilariously wrong. Fascism and communism are ideological opposites of each other. Same are theocracy and communism.

Classical liberalism, communism and republicanism are ideologically much closer related to each other. The Bolshevik revolution was merely taking the French revolution to another level. Abraham Lincoln had close Marxist associates. Why do both the US and the USSR called themselves a Republic or a combination of Republics if they are opposites according to you ? Because they both have a "people rule" and not a Monarch. In fact, the original terms of "right" and "left" originate out of France. The Loyalists / Monarchists sat on the right while the Republicans sat on the left in Parliament. Also, Fascism is inherently Nationalist while both capitalism and communism are inherently internationalist / globalist. It's all a little bit more complex than economics alone.