In the United States, we have a class system "where social rank is defined in terms of wealth and income. There is movement between the classes. This system is an open system and there is social mobility. (Understanding Sociology, Basirico, Cashion, Eshleman, Barlow and Holley)." We do not have a "Caste System", which is given to a person at birth and is a closed system.
About the only place you'll find an almost classless system is in Hunting-and-Gathering societies where there are usually less than 50 people total.
I don’t agree, and I don’t think that is meaningful, mosty because one person can be in so many different income groups in the course of his lifetime. There are also some people who earn respect in other ways while there are others who have a lot of money and no rank. More importantly, there is no system for allocating or recognizing rank. Listen to the questions when pols talk about taxing the rich. First question is what do they mean?