That logic doesn't really work, unless you have the leisure to casually ally with potential enemies. I see no reason why al Qaeda, the Islamic faction, would join up with Saddam, who habitually slaughters entire mosquefuls of religious types because they're paying too much attention to God and not enough to him. In turn, I can't see Saddam working with a group whose main aim is the elimination of all secular states and lifestyles, when his is one of the most secular in the region.
You know, Cuba doesn't like the US either. Have you considered the high likelihood of an atheistic, communist Latin American government joining forces with a virulently religious, oligarchic Middle Eastern state? Perhaps we should preempt Castro before Al Qaeda uses his island as a staging area to bring a whole mess o' Iraqi chemoweapons into the US, aided by the Freemasons, various militias and Nazi parties, the Chinese, and a good bit of Europe.
Get the picture?