The Kurds are the Sikhs of Iraq. They won’t back down from anyone, and they will thoroughly kick glutei maximi.
Iran is determined to exterminate the Kurds and Turkey will help as they hate them for their independance and spunk.
Plus they both want to keep the stolen land.
Meanwhile, while the Iraqi government is quibbling about who is in control, Iran will take over.
Kinda simplictic, but that's IMO.