At the risk of being labelled as negative, I'm going to disagree. The majority of people just don't care. They don't care about politics, about science, about reason or about anything outside of their day to day lives and relationships. That's how it's supposed to be.
As it turns out, the average person isn't brilliant, anointed or blessed (this is due to the meaning of the word "average"). Saying that everyone is "brilliant in their own way" is a cop out, a platitude that's no better than saying nothing at all. Intellectual curiousity, love of learning and scientific rigor are real things, and a large number of the humans on this planet don't possess them. If you object to the idea that Neil DeGrasse Tyson is more brilliant than most, then you're in danger of losing touch with reality.
If NDT is showing any arrogance, it's in thinking that he has the ability to raise the level of public discourse. He's really smart, but apparently not smart enough to realize that no amount of education can change the basics of human nature. You can teach people how to think, but you can't make them like it.
A laughably small number of americans vote in presidential, much less local elections. And many of those voters have only the shallowest understanding of the issues being decided upon. deGrasse Tyson has a point...education may be democracy's only hope.
ASIDE: I'm noticing rampant selection bias on hn. It's important to remember that most of the people on this planet are nothing like us. Working at tech companies and hanging out at tech events it's easy to believe that everyone is as intelligent, reasonable and hard working as our family and coworkers. Most people just don't have the same love of learning and/or hacking that we do. While we value knowledge and intelligence above all, most humans don't and there's nothing wrong with that.