Mosul is an Arab city in a Kurdish "region". You might be thinking of Kirkuk, which is primarily Kurdish, with a Turkeman minority.
Incidentally, most all Kurds in Iraq are Sunni Muslims.
There are three primary groups of Kurds. Two of those groups can be friendly to the U.S.
The 3rd group, however, is Ansar Al Islam, a decidely unfriendly terrorist operation that got caught trying to pull the recent chemical attack in London.
Yeah, I made the distinction that Sunni ARABS shared Mosul with the Kurds.