Indeed. Before the invasion, Bush spoke repeatedly about changing the culture and mindset of the Middle East, pointing out that exactly one country - Israel - in the region had a representative government. The theory was that if the United States set up a successful, dynamic, economically-dynamic democracy in the Middle East, then the garbage, corrupt, sick mind-set that led to the Taliban and 9-11 could be ended. Remember that Bush and Powell spoke about the need to move the entire region forward, as the ****-bags were being financed by Iran and we needed to do something to prevent us from being nothing more than a meme and target for the Middle East.
No, it was performed terribly. First, Bush refused to let the Sunnis - those who had supported Hussein - hold any authority after the United States defeated Iraq. That decision was suicidal, since the Sunnis uniformly ran the jails, and the military, and the oil production, and the water purification, and the medical clinics, and the schools, and on and on.
When the United States invaded Germany during WWII, we did not remove Germans from governmental involvement and control. But that is basically what we did after routing the Iraqi military by refusing to allow any Sunnis to have any position of authority or control.
You remember that story where nobody was guarding the Tehran museum, and a bunch of "opportunists" stole millions of dollars of items from the museum? That was because the Sunni guards were dismissed, and nobody was qualified to replace them.
If the United States had simply used qualified Sunnis to run the power plants, and oil wells, and security, and military, the "insurgents" (read: terrorists funded and imported by Iran) would never have made a dent.