Not sure I ever want to overcome that feeling, just channel it into motivation instead. Don't see all those smart people as your competition, see them as potential hires or colleagues, people to learn from. And when everyone realises all the other high performers feel the same way, then everyone gets a little kinder to one another. That's been a pillar of all the high-functioning teams I've been lucky enough to be part of.
Litmus test: if you ever think you might be the smartest person in the room, you're in the wrong room.