First we have to define "Elites". Do we mean the academic elite (those with doctorates from reputable universities who have published in peer-reviewed journals)?
Do we mean the artistic elite?
Do we mean the economic elite? Those who have risen from mediocrity to billionaire status?
Do we mean the politicial elite? Well one could argue that they're already running the show, for the most part.
Perhaps we mean the blue-bloods... the old-money families who have maintained a condition of wealth and status for several generations, whose children invariably graduate from Hahvahd or other Ivy League colleges... well actually they're pretty well-represented in DC too, by the Kennedys, the Bush's, the Hines-Kerry's, etc.
Plato (IIRC) wrote in his tretise Republic that the rulers should be a small group of elite philosopher-kings, highly educated and the only ones told the truth about how the world really works, while the general populace was educated only as much as needed and indoctrinated in beliefs that would theoretically cause them to be productive, orderly citizens who respected and obeyed the ruling class. In return the philosopher-kings would regard the common citizenry much like children and look after them via their greater wisdom.
All utopias begin with the premise "if only people would behave themselves like they OUGHT to..."
Plato was one of the few who had a notion of how you achieve this, but I don't care for his vision much to be honest. I'm not overly fond of being told what to do period... being told what to do by a government in which I have no input would likely cause me to raise the Gadsden flag and go to war.