Excerpt: Today, the majority of Kurds are Sunni Muslim, belonging to the Shafi school. Mystical practices and participation in Sufi orders are also widespread among Kurds.[147] There is also a minority of Kurds who are Shia Muslims, primarily living in the Ilam and Kermanshah provinces of Iran, Central and south eastern Iraq (Fayli Kurds), and who are Alevi, who mostly live in Turkey....
http://en.wikipedia.org/wiki/Kurdish_people#Religion
Well, I don’t think Wiki is correct here. The majority of Kurds are living in Iraq or Turkey and for that reason they falsely identify themselves as Moslems to avoid persecution. Any Kurd I met elsewhere identifies as Ezidy.