I think you are confusing the Kyu / Dan rank system, with the traditions of Karate and TKD. The Kyu / Dan rank system is simply a system of breaking up the curriculum into sections, to be learned in an order. The number of the section you are on happens to be the color of the belt. For some reason, Karate and TKD have decided to pretend to be in the military, and associate the belt to some sort of position of power that continues outside the training hall.
Ummm... no. We do not.