The Kurds armed force in Northern Iraq the Peshmerga is better armed and alot stronger than Iraqs current Military, and Baghdad knows this. Turkey, Iran, Iraq and Syria all despise the Kurds and don't want anything to do with them, you are also spot on about US Forces being safe in Kurdistan, I heard they didn't even have to wear their flack vests or heavy gear there, during the whole Iraq war I believe there were 0 US Casualties in Kurdistan.
of course there wont be , we love our liberators ,we demand a US permanent military base in Kurdistan, hell we will cover most expenses.
I wouldn't mind that, although Baghdad and Turkey will have a shit fit.