With a strong earthquake in Mexico City and a hurricane slamming into Puerto Rico, I imagine we could see American Army and Air Force personnel offered to Mexico for search and rescue and emergency response; as well as Navy/Marine and Air Force personnel sent to Puerto Rico (and other islands in the region) to help.
The primary purpose of the military is to fight and win our wars, of course. But the capacity to move people and equipment into areas without functioning infrastructure that can function with their organic assets to help people recover from natural disasters is a byproduct of having a well trained and well equipped military.