WI: Iraqi Freedom uses more troops for post-war rebuilding?

One of the biggest criticisms of the 2003 Iraq War was that we didn’t have the numbers required to pacify the entire country post-invasion, mainly due to Donald Rumsfeld stubbornly believing that we would need an extremely low number of troops since the Iraqi people would presumably love us for removing Saddam from power. Let’s say for the sake of this discussion that Rummy relents and agrees to the deployment of around 400,000 troops as reccomended by the Pentagon. How would the situation in Iraq look compared to OTL?
Note: This thread isn’t meant to justify the 2003 Iraq War. My main focus is to see whether the war would have progressed and how the American public would react.
 
The biggest failure of Operation: Iraqi Freedom wasn't the amount of troops or security, though admittedly a larger US/Allied task force to maintain security would have softened the worst of the chaos. The biggest issue was that there was no real plan or framework to rebuild the country in any realistic fashion or timeline. The plan seemed to be "We'll rebuild Iraq off the oil profits", and that Iraq would turn into a democratic US ally overnight. While the attempt to turn Japan and Germany democratic worked, the latter had at least some concept of parliament and free elections, while both were at least given time and effort to rebuild, restructure, and rejuvenate following the devastation inflicted by WW2. Germany and Japan had their economies totalled by 1945, and needed till the late 1950s/early 1960s to initiate their "Economic miracles". Iraq was hammered into the ground, then was expected to get back on its feet within a few years.

The extra security might have worked, assuming the US voters were willing to take the pain. But it would have only been a partial measure. The 'Reconstruction' part of 'Reconstructing Iraq into a Free and Democratic Country' was severely lacking. You don't need angry 20-somethings with guns, you need a dedicated police force and an army of trained and skilled social workers, something the US didn't have in Iraq.
 
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