How about saying that the oligarchy is now an pseudo-aristocracy?
With capitalist industry leaders having replaced nobility, a monarch having been replaced by representatives, a feudal system being replaced by "social classes", priests promising better times being replaced by economists and the right-left divide among ordinary people being between those who support or reject the "noble".
From https://en.wikipedia.org/wiki/Ochlocracy :
"Ochlocracy ("rule of the general populace") is democracy ("rule of the people") spoiled by demagoguery, "tyranny of the majority", and the rule of passion over reason, just as oligarchy ("rule of a few") is aristocracy ("rule of the best") spoiled by corruption, and tyranny is monarchy spoiled by lack of virtue."
https://en.wiktionary.org/wiki/monarchy (mono-arkhe or single ruler)
https://en.wiktionary.org/wiki/republic (rep-resent)
https://en.wiktionary.org/wiki/feudalism
https://en.wiktionary.org/wiki/capitalism
https://en.wiktionary.org/wiki/socialism
https://en.wiktionary.org/wiki/aristocrat
https://en.wiktionary.org/wiki/aristocracy
"A class of people considered (not normally universally) superior to others"
From https://en.wikipedia.org/wiki/Right-wing_politics :
"The political terms Right and Left were first used during the French Revolution (1789–99), and referred to seating arrangements in the French parliament; those who sat to the right of the chair of the parliamentary president were broadly supportive of the institutions of the monarchist Ancien Régime. The original Right in France was formed as a reaction against the Left, and comprised those politicians supporting hierarchy, tradition, and clericalism. The use of the expression la droite (the right) became prominent in France after the restoration of the monarchy in 1815, when le droit was applied to the Ultra-royalists. The people of English-speaking countries did not apply the terms "right" and "left" to their own politics until the 20th Century."
https://en.wikipedia.org/wiki/French_Revolution
https://en.wikipedia.org/wiki/Left-wing_politics
https://en.wikipedia.org/wiki/Clericalism
https://en.wikipedia.org/wiki/Hierarchy (hierarchia, "rule of a high priest")
https://en.wikipedia.org/wiki/Anarchy (an- not arkhe)