Shoot, you are right.
Iran is Shiite, Saddam was secular Sunni, Al-Queada are psychotic sunni nihilists, like Saudi Arabia.
I'd say that is all true up until 1991. After that Saddam added "Allah akbhar" to the flag and built one grand mosque per year.
He also had no problem letting psychotic sunni nihilists like Abu Nidal come into the country for medical treatment and stay.