Humans are primates, but not apes. There is a marvelous variety in human beings that no other animal matches. The same species has ballet dancers, architects, ditch diggers, mathematicians, farmers, and countless other things. Even there, you can't pin people down. Maybe one ballet dancer likes to grow strawberries. Another does target shooting.

Every person on Earth is a minority of one.

Of course we're social, but a "class" isn't a social phenomenon. It's a political one. Have you ever heard the term used other than in connection with some political agenda?

City council meetings attract the sort of people who think of themselves as belonging to a class, and usually want the city council to do something to help that class, or penalize another one.