Why do people in places Pakistan NOT want US military there, but when bombs go off they plead for our help?

Pakistan and other countries in the news have insisted that their police and military are now ready to handle their country. Hooray for them. Let them do it. But as soon as one of their own sets off a fire-cracker they cry and ask why America isn't there to help put out the fire. As soon as there is an earthquake they moan and cry that America hasn't replied soon enough or showered them with enough money. The whole world seems to act like spoiled brat kids dependent on America yet wanting nothing to do with America - and currently it is like having the rich beg for more money from the poor. Why don't foreign countries grow money trees and when the need assistance pull money from the twigs?