Several of his classes are for the government/overlord sector, actually.
It is not, however, a matter of right- or left-wing paranoia to state that there is a defined ruling class in the United States that has all the Marxian hallmarks of a separate class: finite, self-selecting population whose actions are primarily in the interest of class preservation and solidarity across other class signifiers such as race, sex, and ethnicity. It subsumes the current standard-bearers within both political parties and its most earnest, even desperate effort, is to see that harbingers of change such as Palin, Cruz, et al, are kept out.
The difficulty is that such movers for change must, in order to work lawfully within the system, become part of it. That ruling class cares little for law itself except insofar as law is its principal instrument of control, or more precisely, violence under the cover of law. "Oligarchy" may have to be stretched a bit to define it but the broader term "aristocracy" certainly does.