Wrong. The hometeam is Iraqi's. With no more rights to meddle and decimate tha nthe Iranian's, who according to reports are crossing the border in force.
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You speak as though Iran and Iraq are two separate entities that have never had any reAL RELATIONSHIP TO EACH OTHER.
And this is wrong. Iran was a part of the Babylonian Empires I and II and parts of the empire goverend by Cstesiphon, and Iraq was a part of Persian Empires I and II and the Parthian Empire, and both were part of both the Alexandrine and the Ottoman Empires.
Do not think that they are like Americans and Mexicans. More like Texans and Oklahomans.
Neither country has ever been ruled by the USA, other than Iraq, recently and mostly unwillingly.