That’s not true.
The Kurds are separatists. Muslims believe that the big conflict is between Shia and Sunni. It’s just a matter of logistics.
http://lamarzulli.wordpress.com/2010/09/15/shia-vs-sunni-the-coming-war/
http://www.amazon.com/Sunni-Shia-Conflict-Understanding-Sectarian-Violence/dp/098422520X/ref=sr_1_2?s=books&ie=UTF8&qid=1403828957&sr=1-2&keywords=shia+vs+sunni