In general abuse from police is concentrated on the most powerless ie poor people, so no, celebrities like Neil DeGrasse Tyson and especially Oprah(billionaire) are not getting harassed by police. Being a billionaire pretty much is a race of its own.
DeGrasse Tyson was probably a bad example because he's well-known, although not rich. But consider a black person who's upper middle class but not well-known like him. Take a neighborhood mostly populated by black upper middle-class. Would the residents be treated worse than the residents of a white upper middle-class neighborhood?
Since I'm not a poor white person I can't speak with a ton of conviction about how they're treated by police, but I've known plenty of poor white people and from what I've gathered when we talk about police, their experiences are very different from mine and other black people in that they largely don't have much of a problem with police unless they're committing crimes.
I see. What irritates me about people who do not live in the US who read what American commentators say about this, pick a side and then talk about this stuff with any conviction. It's impossible to understand what's going on without first-hand experience or accounts of people you know personally or experiencing life in the country as a whole. Going only by what's written on the Internet would be a serious mistake. (Not that I have any reason not to believe you.)
All the rioting in response to the Minneapolis murder by police seems totally overblown to us across the pond. Or the MeeToo movement or the hysterical political correctness. But when you take into account certain realities, then these reactions may begin to look more understandable. Context is everything.
On the other hand well off or wealthy white people have a history of getting away with crimes that someone black would NEVER get away with, but in today's world I think money supersedes race, so I think these days a rich black person could probably get away with a lot too.(R. Kelly)
O.J. Simpson did and that was in the early 1990's.
RE: Dear Black People...