I had a high school teacher in 1969 who explained that democracy is not necessarily the best government for everyone – he argued that dictatorship may be the best system for some countries. I believe that Iraq may be one of those countries, when you have tribal / ethnic / religious peoples who historically clash, and who want it to stay that way, then there needs to be a powerful figure to lay down the rules, hopefully a “benevolent” dictator.
Yup. Some cultures are only stable when the leaders do their political thinking for them. I think there are probably only two ways to fix Iraq: getting another (probably ruthless) dictatorial government in place, or spending gadzillions of dollars to split it into three or possibly four countries and build walls between them. If the kids refuse to learn to play well together, you have to either scare them into submission or separate them.