I think most of them are very thankful.
Tens of thousands died trying, and failing, to remove Saddam themselves.
Most of them lost close family members in horrific ways to Saddam and co., and all who opposed him lived in fear.
Saddam's thugs killed 63 family members of one of our Iraqi allies.
The press is still not sharing their stories, though the stories are well-documented, and as cruel as any you're likely to hear from any regime in history.
CPA-Iraqi commission set up to locate the missing and protect the mass graves:
8 Mass Graves of Iraq: Uncovering Atrocities ~ Coalition Provisional Authority | 1/05/04
Eyewitness testimony:
8 THE CRUELEST COVER-UP ~ Tales of Saddam's Brutality ~ White House | Various
8 Graphic proof from Saddam's Killing Fields ~ Photos ~ http://www.9neesan.com | 1/12/04 | the dead of Iraq