https://www.gallup-international.com/survey-results-and-news/survey-result/shifts-in-iraqs-public-opinion-from-2003-to-2025

In 2004, shortly after the fall of the former regime, many Iraqis expressed optimism hopeful for a democratic transition, improved public services, and national recovery. However, this optimism began to erode by 2007, following the outbreak of sectarian violence in 2006 and the partial withdrawal of U.S. troops. Confidence plummeted, with only 45 % of Iraqis believing the country was on the right track.

Don't mistake the Iraq War being a clusterfuck that the US exploited under the Bush regime for ideological and corruption purposes with Saddam's regime being something that Iraqis were mourning to see go.