In the US system, there are still miscarriages of Justice, but there is judicial supremacy and separation of powers.
The powers aren't as separated as say the French justice system, but most would say the US judicial system is mostly independent of the other branches of government.
Very few people are aware about this. The party is supreme and institutions like PLA are answerable to the party, not to the people.
If there is only one party permitted, and that one party is supreme, then how is that a party? It looks like government to me. Maybe the translation to English is just wrong. The "party" isn't a party by any reasonable definition.
The real parties would be factions within the so-called party. I don't know if they have names more descriptive than "Xi supporters" and "Xi opponents".
Overall, I particularly enjoy this system over one that is accountable to a single entity.