I had a dear friend in college that considered herself and extended family to be Kurds and Yazidis. Many family members were gassed to death by Sadam Hussein.
(Nishti: If you are out there. I hope you and yours are safe)
All of these groups are sort of stateless. This is actually a legacy of British domination of the area in the early 20th century. When they and international groups drew the boundaries for the modern ME states, they didnt take into consideration the different population, religious and even language groups.