In the US, many astronauts start as Air Force pilots.
And for the preternaturally calm and confident who don't have the perfect eyesight required to enter the Air Force, many of them apparently serve instead on nuclear submarines...
The point of training someone to their breaking point is not to make them immune to breaking. It's to give them experience with a realistic battlefield situation and their own physiological responses during it so they stand a basic chance when it does occur.
Totally, they put a bunch of people in those giant spinning chair things and weed out the ones that puke or freak out. Those are the astronauts, they have the right stuff.
By going through a ten-year process that selects for calm people.