The Kurds actually did fight
against the Nazi puppet regime in Syria in WWII. But few waded onto Omaha Beach behind Courageous General Bonespurs. A few with British forces, I gather.
Our Ukrainian allies not so much- particularly the Catholic western parts that are now "our" side were generally pro-Nazi, the Orthodox east pro-Soviet.
In both cases, a matter of oppressed minorities taking the opportunity to ry to break free from the greater enemy.