Totally wrong. “As a whole, the Kurdish people are adherents to a large number of different religions and creeds, perhaps constituting the most religiously diverse people of West Asia. Traditionally, Kurds have been known to take great liberties with their practices. This sentiment is reflected in the saying “Compared to the unbeliever, the Kurd is a Muslim”.[179]”
From the Pew Research Center:
“Nearly all Iraqi Kurds consider themselves Sunni Muslims. In our survey, 98% of Kurds in Iraq identified themselves as Sunnis and only 2% identified as Shias. (A small minority of Iraqi Kurds, including Yazidis, are not Muslims.) But being a Kurd does not necessarily mean alignment with a particular religious sect. In neighboring Iran, according to our data, Kurds were split about evenly between Sunnis and Shias.”