You had me until you basically said, "and for my next trick, I am going to make up stories".
Projecting is what happens when someone doesn't understand some other people, and from that somehow concludes that they do understand those other people, and feels the need to tell everyone what they now "know" about those people, that even those people don't know about themselves.
Stopping at "I don't understand those people." is always a solid move. Alternately, consciously recognizing "I don't understand those people", followed up with "so I am going to ask them to explain their point of view", is a pretty good move too.