There's no such thing as a Kurdish state, therefore the guy who is supposedly a Kurd burning a flag is either not a Kurd or a terrorist.
Yay I suppose
That gentleman burning an ISIS flag is raising the flag of Iraqi Kurdistan, and he is most certainly NOT a terrorist. The Peshmerga are fantastic troops and several of my close friends owe their lives to Kurdish warriors related to the man pictured.
The Kurdistan Region of Iraq has existed since the 1970s, and basically functions as an independent state outside of Baghdad's control, especially since the ISIS offensive. The Kurdish Regional Government has announced referendum plans, and since the Peshemerga (the Kurdish military forces) are some of the more effective portions of the IA and are gaining international support, I doubt Baghdad will have much ability to complain.