I don't think that the official languae in Iraq should be English. I believe that the language that is spoken by the majority of the population should be the official language. Since English speakers are probably among the minority of speakers in Iraq, having English be the official language would not make much sense.
The big answer is no, that's like asking to Spanish the official language of the USA. Iraq should celebrate their culture and hold onto their customs. Forcing them to do otherwise is just what the USA need to receive more backlash from Muslim countries. We don't need it. Live and let live.