However, by invading Iraq, we introduced a new humongous source of chaos to an already chaotic situation. Chaos and destruction cause historical events to become even less predictable than they usually are and impossible to control. What is predictable is that they tend to support the worst in people and suppress the best. I think it's quite safe to say that the cure was worse than the disease (Saddam, at least), and we are responsible for that. History tells us that this usually happens when people try to solve problems by invading countries.
In other words, I think we shouldn't pretend we can predict outcomes of chaotic situation. One thing we can be guided by is that the things we feel are bad (war, oppression, genocide, etc.) cause more chaos and create far more misery than the politicians and the public doing the bad thing imagine when they convince themselves it's necessary/worthwhile/inevitable. Also, no situation is so very bad that you cannot make it worse (as apparently astronauts like to say).