I totally agree; arrogance is very important if you're an unrecognized badass. Caesar was kidnapped by pirates and held for ransom. He told them he was worth more than that ransom, so they obliged by raising it. Once he was free he pursued and executed the pirates.
Most people should not have that arrogance because most people are not Caesar. Thing is, if you are Caesar, you sometimes have to be arrogant to mediocre people (especially bureaucrats) because they will crush you if you're not. But it's hard to draw the line because it's so few people are true geniuses and it's hard to know for sure if you are one.
Being a genius (as far as I can tell, because I don't know if I am one) seems to be tough in this world. It's not like being a star athlete, because in that case the best know they're the best, say so, and bet their future on it. That is not the case with geniuses. You can't take out huge loans against your future wealth in order to buy status and get laid in high school, for instance. I'm sure there are Silicon Valley billionaires who wish they could get back a part of their nerdy lost youth, but it's impossible. On the other hand, it's much less likely for a genius to have the balls to bet on his brains, challenge the curriculum, and get people excited about his future the way athletes do. I guess it's because, at the end of the day, society doesn't like nerds as much as it likes athletes, and because people like to think they're better than others. In this case, it's old people who think they are better than young people, rationalizing that they are smarter.