Stay at home parents, given the opportunity to work again in the corporate world or abroad with a really competitive salary, would you leave your kids for it?

Nope. I think that the stress level is high and won't match the salary that you'll get from corporate work. Travel time will also lessen the time that you can spend with your family. Often times, when you work in a corporate setting, you leave the house while your kids are still sleeping and you come home when they're already resting.