Slow down. No such thing will ever happen. Iraq might be weak but they had the power to kick the Americans out. Also I do not see how Iraqi Kurds would want to join Turkey since Turkish Kurds want to go independent. I guess then the true friends of Iraqis are Iranians since atleast they do not lay claim on Iraqi territory and cities.
Oh, well, you mean supporting civil war in a Muslim country. Well that has been the speciality of Saudis but that does not count even if true. Iran is supporting Hamas against Israel. That is a different thing. Saudis call Hamas terrorists.