The Kurds are Sunni muslims. Iraq and Syria are Shiite muslims. What this is is a preview of times when Islam has conquered Christian civilization and converted / killed all non-muslims. Then they turn on each other, as being previewed in this article.
And yes, it’s a shame because they are probably the most moderate of the muslim sects. That is why Syria and Iraq want to destroy them now.
You said: “The Kurds are Sunni muslims.”
Totally incorrect.
Iranian Kurds are largely Muslim (was roughly 75% Sunni, 25% Shia, with some other non muslims). Syrian Kurds are totally secular. Their ranks include Muslims, Christians, Ezidi, Alevi and quite a few atheists.