This is, in fact, an inevitable result of our current society's ways. The same thing has happened over and over again across human history, from the fall of Babylonian Ur to the French Revolution.
What the right-wingers fail to understand is that in every one of these societies, the single uniting factor behind violence against the rich was absurd levels of income inequality brought about by the rich. If no one steps in to save them, there's going to be another revolution like the one in France -- only I don't think that America's poor are classy enough to use guillotines.
It's actually a classic Tragedy of the Commons: if rich people as a group get too far above the station of the common man, the common man can and will break the system, kill the rich, and redistribute the wealth themselves -- provably. But any one rich person is too self-interested for them as a group to get together and agree to dial it back. The only hope they have is that the government finds a way to crank that dial before the peasants do it by force.