Is it okay that I don't like being seen as rich?
Why do you not like being seen as rich?
I don't trust everyone and I want to ensure that people treat me as an equal.
Keeping this from some people is what you want to do in order to be treated how you want. This is good, being humble can be rare among the rich.
I don't care about being equal, I just want to do everything in my power to make sure people treat me the way I want.
It's understandable that you don't want to be treated differently than others. It's important to protect yourself from those that might want to use or take advantage of you.