One foot on Shiite territory, another foot on Sunni territory, and presumably a third foot on Kurdish territory.
Not much of a foothold if you ask me.
If we wanted to establish a foothold in the Arab/Muslim world it would have "made more sense" to invade Iran, but since I believe that invading Iraq was complete and utter nonsense, it wouldn't take much to make more sense than that.
Even one of Lady Gaga's performances makes more sense to me than the invasion of Iraq.
Nobody asked you, and I get the impression that you never spent much of your life interested in such things, except in this narrow political sense.