But having a more democratic Middle East is better for the US, in the long run. The issue with the Middle East is since the fall of the Ottoman Empire there has been precious little means for the common person to feel enfranchised. This only promotes revolutionary ideology and actions- which is all Muslim extremism is, as dictators typically restricted all opposing parties and any civic institutions that could defy them, but left the mosque alone, where dissent was naturally funneled into, but I digress.
As long as the only outlet for enfranchisement remained in revolutionary actions, the world was going to suffer violent Arab attacks globally- particularly with the general democratization of violence that we've seen with the rise of the internet and all that. With this in mind, the repeated violations of Saddam Hussein became an extremely attractive- and compared to any other area, a very easily sellable- opportunity for affecting that change and managing it. Of course it was going to be messy at first, but the bumbling done in 2003 made it that much harder to even institute a more open society, period, let alone manage its maturity. But by 2007 the security situation had stabilized and the next step could be initiated.
Except the folks I've mentioned in a previous post put the brakes on all that. So that was bad.
And keeping Saddam in power wouldn't have done anything but kick that can down the road a bit, hoping it'd go away. After 9/11, policy makers weren't in the mood to just hope it'd go away. Which I understand and appreciate, but they also weren't "in the mood" to execute the invasion correctly, which I don't.