logically it can't be true that the members of an association ought to govern themselves by the democratic process, and at the same time a majority of the association may properly strip a minority of its primary political rights. That logical statement is only true if you assume that in a democracy, political power is equal.

yeah i mean that's the school book scenario and one of the flaws with "simple" democracy that has no mechanism to protect women or queer people from christians, slavevs from their owners etc. the democratic process is more than one thing, especially once your association gets too big and you decide to have representatives. Places like china, viet nam, and cuba are democratic but unless you live in a place that does "democratic centralism" you probably weren't taught about that form in school. I certainly wasn't.

that "people's democratic dictatorship" terminology that you seem bothered by is by way of marx's "dictatorship of the bourgeoise" and "dictatorship of the proletariat" and doesn't mean the same thing as "state run by a single dictator". Somebody else can give a better summary but the really bare bones version is that the state is ostensibly putting the interests of the people first and actually controlled by the people, unlike the US which talks a big game about "of the people, by the people, for the people" and then congress never does wildly popular things like legal weed and proper healthcare and does do horridly unpopular things all the time because the rich fucks who own congress benefit.

Keep reading, there's a lot of misconceptions to break and good on you for taking the time.