I disagree with your erasure of class dynamics as they relate to the state. The class that is in control of the state is the class that controls the large firms and key industries, the economic base of society. There isn't a middle ground, this is a class war, and the one that has supremacy weilds it in their favor and cements it.

Further, the disparity in capitalism is leagues beyond socialism. In the USSR, the difference between the top and the bottom was around 5-10 times, on average. In capitalist countries, that figures in the hundreds to thousands range, to far, far more than that even. These are not equivalent in any way. Privledged individuals exist in socialism, to be sure, but the sheer scale of privledge pales in comparison to capitalism.

Further, everyone being capable of voting makes no analysis of the media, the state, how candidates are selected before coming to the election table, what parties are allowed and which are financially backed by the capitalists, and like I showed, the state is taking an active role in suppressing socialism. This is not democracy for the people, this is bourgeois democracy, and it extends from bourgeois control of the economic base of society.