Yes, someone is counting the number of civilians. It is not in the "tens of thousands."
At least 5,000 civilians may have been killed during the invasion of Iraq, an independent research group has claimed. As more evidence is collated, it says, the figure could reach 10,000. http://www.antiwar.com/casualties/
Seriously, when an anti-war site doesn't feel the need to exaggerate, why do you?