Request for refinement. Oligarchy is just rule by a few, perhaps you mean rule by the wealthy, plutocracy, which seems to be more compatible with your argument.

But then the GOP do have constituents, via a continued enhancement of the Southern strategy, to get people to vote against their economic interests. Of course there simply aren't enough plutocrats to win elections, so they have to rile up some masses with various promises, rhetoric, and occasionally throwing them red meat.