In case of an emergency descend: Isn't it so you need to have an X amount of time for your passenger supply and cockpit supply. I'd say most commercial jetliners will be able to get out of Iraq at their cruising level in about 30-45 minutes. Stay on altitude and start descend prior to Tamim or whichever border.
Other then that we cruise regulary between (FL120 - FL 250) during day & night so far I haven't had an incident at these altitudes, might be because we do not use the external light such as strobes at lower altitudes.
In my honest opinion Iraq is not the worst place to fly over think about all the "unrest" and planned attacks in Rijadh. Just food for thoughts.
P.s. wide body planes fly in to Baghdad atleast twice a day (TMG for DHL)
Coastrider