Your example is not typical, as many of high intelligence suffer from the Dunning-Krueger effect.
It would mostly be a feeling of not fitting in, not being in the "cool" and in the "know" of how to act cool. At least not in a natural way. Most try to adapt, others drop out of the game.
It can even help lead to depressions like existential depression through that de facto isolation of having an artificial personae.http://www.davidsongifted.org/db/Articles_id_10554.aspx
Modern people are forced into institutions where all castes are together, so because of their numbers lower castes set the standards of social interaction and educational method to their level.
In a natural society familiy and farm takes the place of institution, and obviously there is not a problem of major imbalances of intelligence in the social interaction then.
Normally it takes a long time to realize the differences between your internal world and the external socially constructed world is caused by difference in intelligence. Personally I didn't really believe it even when they claimd I was intelligent on some tests in the military and on some science fair. In a young person the hidden ability has not yet unfolded, so it is often not apparent it is there---especially not to average people.
Besides, doesn´t 80 % of people claim to be above average intelligence? I think humans are hardcoded to bolster their ego with self flattery. But the Dunning-Krueger effect migth be the result of broken down selfconfidence via long times of not fitting in socially---and more importantly : from early childhood in a compleyely classless environment.