Actually, I doubt this will happen, but one never knows. When the Duchy of Grand Fenwick invaded the United States back in the 1950s, hoping to lose immediately and then receive foreign aid so it could avoid bankruptcy, things didn't work out as planned. You may have seen the documentary, "The Mouse That Roared."
Anyway the Yemeni government must be pleased as punch to be getting so much money and help from the U.S. so that it can pretend to fight al-Qaeda while crushing the various other insurrections now going on and throw dissidents into jail, or worse. Who says the United States doesn't have a big heart?
Why is it so easy for al-Qaeda to recruit terrorists? Glenn Greenwald has some insights about how U.S. Middle East policy helps out.