We "broke it" in the sense that Dubya allowed the rules of engagement to be politicized. Had the initial invasion been followed by the Petraeus Plan, Iraq would be much farther along the road to peace.
To say we "broke" Iraq is both inaccurate and demeaning to our troops. We saved Iraq from a monster. But in saving Iraq we are now responsible for ensuring that the life we saved is a life worth living.