Problems with “stratified societies” (those where income equality is extreme, such as the current situation in the US and Russia) include economic research indicating that when income inequality is high, growth and development of production is impaired. In addition, such societies are basically unfair. Reasoning suggests that when consumers at the bottom are deprived of adequate resources and infrastructure, the whole of society should suffer because of lack of demand for finished products and services among the most numerous part of society.
The worst aspect of stratification is the feeling of dissatisfaction among the bottom consumers– when income inequality reaches levels just slightly worse than we have now, revolution is in the air.
This has also been discussed on numerous other sites recently, including an article in Scientific American (not paywalled but with cookies) that I highly recommend for further reading. The article is entitled “The American Economy is Rigged–And What We Can Do About It.”