Here is my try. Please take a look at it. I hope you understand what I mean.
A friend of mine works in Manhattan. He says that rich people who he knows think they are the best. I work in a very small town and know some rich people as our customers. But a president doesn't show us that he is the best or he is rich while talking, neither do the others.
I don't feel that he is that rich even though he is This is OK, and the verb 'feel' is fine, but I think I might say eg He doesn't make me feel he is that rich, even thoughhe