Even though it strokes my American ego, I don't know how you can say we rule the world. In what sense are you talking about?
If we ruled militarily then there wouldn't be opposition of the type we encounter whenever we send troops abroad. Granted, we usually have the upper hand, but I when I use the term, "we rule them", I don't expect any significant resistance.
Also, why do you think the terrorists started the war? We supported the whole give-palestine-to-the-jews-instead-of-the-palestinians, and proceeded to arm israel to the teeth so they could "protect their borders" (invade the rest of palestine). i'm not saying that is any one groups motivation, but merely pointing out the fact that we've had our hands in the Middle East. You shouldn't expect everyone to be receptive when you tell them what to do. You can't please everyone and when you mix religion with politics you are bound to piss someone off.
Secondly, these terrorits have not recently "started" this war, as your post implies. There have been terrorist attacks on U.S. targets for decades now.
The 1982 kidnapping of Americans in Lebanon
Bombing of the U.S. Embassy in Beirut, 1983
Bombing of the U.S. Marine Corps barracks in Beirut, 1983
Bombing of the U.S. Embassy in Kuwait City, 1983
Bombing of the U.S. Embassy in Beirut, 1984
World Trade Center bombing in 1993
Bombing of the U.S.S. Cole in 2000
I'm not saying the same terrorist organization is responsible for each of those attacks. There are many more, about a half-dozen involving hijacking planes. The thing is, you didn't specifiy which terrorist group started this war, so I decided to generalize.
One other thing. I'm not saying I condone the terrorists actions, or that I'm against the invasion of Afghanistan and Iraq. If they let me pull the trigger I'd take care of Bin Laden myself.
FYI, there are 1,66,589 active duty personel in the U.S. military as of June 2003.
http://www.dior.whs.mil/mmid/military/miltop.htm