Iraq was NOT run by radical Moslems.  Saddam was a SECULAR (non-religious) thug, and had them repressed.  When we overthrew him, we CREATED a situation where there was now another disorganized country with a moslem population, that was NOW, after Saddam was gone, able to become a training ground and recruiting ground for Moslem Terrorist groups for the first time.

At the same time, our invasion of Iraq basically resulted in Bin Laden's anti-US propaganda becoming actual fact, and gave him a powerful new recruiting tool, that has allowed Al Qaida to be MORE effective at signing up new suicide bombers than they were before we invaded Iraq.  

Of course, Radical Moslems ALWAYS wanted us dead.  Only BECAUSE we invaded Iraq, there are now MORE Moslems who have become Radicals willing to kill themselves in harming us, and they have a new country without coherent leadership in which they have established a foothold in where they can train their fanatics in the skills of killing.

What don't YOU understand about THAT?