Just stumbled upon a random statistic.
According to the general estimates such as by Iraq Body Count, the number of fatalities in the Iraq War from March 2003 to December of 2011, almost nine years of conflict or 105 monyhs, were about 100-110,000. According to the same sources, roughly half (or one third) might be of combatants, insurgents and soldiers etc and the other half (or two thirds) civilians. As of 2011, three million Iraqis were displaced abroad. (it shrunk from its peak likely)
Syrian Civil War meanwhile, hundred thousand dead plus another hundred thirty thousand missing according to Wikipedia. And two million million refugees displaced abroad, despite the fact Syria's population is smaller then Iraq's. Another three million internally displaced. All of this in the thirty months, two and half years, since the first protests started. Keep in mind the Civil War didn't truly flare up until literally months of Assad and his thugs suppressing murdering protestors and other supposed dissidents. The fact that these protests were so peaceful for so long despite this is a credit to the opposition then.
Either way, the Syrian conflict seems, on the face of it, to be several magnitudes more intense then even the Iraq War according to these admittedly narrow numbers. :(