While their history in the second half of the 20th century to present warrants sympathy, one must remember the central role played by Kurds in the slaughter of Armenians in the first half of the 20th century.
I’m no authority on this part of the world, but it appears that the relations between Kurds, Armenias and Yezidi were a checkered history.
Most of the recent history reflects cooperation between Kurds and Yezidis. And shielding of Christians in their presence. They all 3 have experienced atrocities.
I wouldn't say "central role". The Armenian Genocide during WW1, to which I think you were referring, was carried out by Arabs, Turks and muslims of Caucasian tribes, and some Kurdish tribal forces.
Those are a couple of Kurdish tribal forces (very much in minority) I was indirectly referring to in #2, who are not secular, but Islamic, believe in Sharia, etc.. Most other Kurdish grps have long opposed them, and in fact fought them to stop their Islamic ideology from spreading.
Equally, same secular Kurds, I have read, opposed the genocide (or ethnic cleansing) and in many cases even tried hiding or adopting Armenian refugees. (Henry H. Riggs, Days of Tragedy in Armenia: Personal Experiences in Harpoot, page 158, 1997.)