This is like saying the idea capitalism is incomplete because a true free market would soon sell fentanyl, organs and slaves, aswell as find every possible way to dump their trash into rivers. Both ideologies are merely mind games and contain abstract concepts like a free market (that is never truly free) or owning the means of production (that doesnt mean you can take your part of the machine home).
Also nowhere in the theory of communism is it mentioned that you should classify and control people. There are sentences like that by Marx himself but this is always a description of what he witnessed in his life under monarchy.
Just one example: You mentioned that communism should be classless but communists somehow love classifying. You got the first part partially correct, communism should try to eliminate classes. But do they love classifying? Absolutely not, they say its a necessary tool, in a non-communist society to be aware of the class you are in and try to break down class barriers around you, this achieving this classless society.
What you did, was saying: “Doctors love to pretend they heal you, yet somehow they love stabbing you” leaving out the fact that they stab you with needles/syringes in a controlled manner and they dont love the “stabbing” part, they love the part were after the stabbing you get better because of it.
So CDU is just AfD in disguise…