Theocracy is not the only form of right-wing and communism is not at all left-wing, doesn't call for the abolition of private property (only corporate property, read Marx and Engels) and Cuba was a right-wing autocracy. You are operating from outdated and erroneous definitions.
https://medium.com/@dgilesphilosopher/new-book-what-are-left-wing-and-right-wing-812fe4c2d2d2