Almost by definition, I've known a lot of incredibly smart people, in the academic sense, and couldn't possibly pick between them. I wouldn't know where to start or how to judge. What I would say, however, that just like anyone else, highly intelligent people can be practical or impractical, content or miserable, extrovert or introvert, kind or unkind, arrogant or humble. There is no one "type"
Absolutely @irregularegular I think the term "brightest" is an issue here.
I have an academic background pretty similar to yours in terms of PhD from one of the top universities in the world, teaching in one of the vest departments in my discipline, and doing all the things that that entails (leading research grants etc).
I'm bright, but actually my intellectual achievement goes beyond "bright."
But it may not be what the OP is asking about - I think hope I come across as reasonably normal and ordinary in every day life. I certainly don't tell people at the gym "Oh I'm a very clever professor, you know" (I'm too much in awe of what other people can lift or how fast they can run ...
It's just an odd question all round, I suppose, in my world. I take it for granted that all my colleagues and most of my students are "bright" - but we're aiming for something more - or different.