Don't we need a clearer term - and don't Iraqis deserve a clearer term for purposes of history - for where that "country" is today?
Unfortunately, we may be at a point where we need to more specifically classify civil wars to cover those instigated by attacks from another country. The term "Civil War" implies that the society pushed apart at the seams, rather than pulled apart by other-sovereign forces. According to Merriam-Webster, civil war is defined as "a war between opposing groups of citizens of the same country."
But Iraq isn't just that while we're there, and it didn't start because of those opposing groups. The U.S. and other foreign powers broke Iraq and allowed civil war to arise. It's unfair to Iraq to label this solely as a civil war at this point, a label that implies that this is solely their issue and fault that it's at this state at this point.
So we need a more specific term than just "civil war". Maybe it's Foreign-Induced Civil War. Maybe it's Exported Civil War. Suggestions?