The fact that there are Israelis there does not mean that Israel is training them. Ex-military personel are training different forces (military, security, body guards etc) all over the world as private merceneries. They used to be quite popular in south and center america.
Israel would have a real problem dealing with the kurds due to their relations with Turkey. Turkey has a wide military and economical cooperation with Israel and the good relationship is extremely important to Israel (not to mention very delicate). Such a thing will not be possible without their approval.
Bozon