Lets assume that the "realist"-faction actually gets to decide how to conduct Iraqi Freedom instead of the Neocons.
So more ground troops for the occupation are available from the start.
Baath party and army are not dissolved immediately, instead most of them become pillars of the new Iraqi state or are at least transferred into new jobs.
Basically all the catastrophic decisions of OTL don't happen, except for starting the war.
How would the occupation play out ITTL?