As I understand it men have greater strength because they are optimized to fight other men for reproductive opportunity. This doesn't increase their opportunities for survival since fighting other men can get you killed. It increases their opportunities to reproduce.
Our advantages in a hostile environmental come from building tools not physical strength. If physical strength was important a male human would not be 5 times weaker than a gorilla.
So no, I would not say men are "designed" to survive on an island better than women, or whatever. They are designed to fight other men in a zero sum game.