I didn't know that Zeibeks have such a historical background.
GROUP OF XEIBECKS; a tribe of mountaineers inhabiting the mountain section inland from Smyrna. They are bold, reckless, rather brutal men, famous for their marauding expeditions, in which they plunder indiscriminately Moslem as well as Christian villages. In the Russo-Turkish war, numbers of them were taken into Bulgaria, where they committed the most atrocious outrages.
Başı Büzzügler.
GROUP OF MOUNTAINEERS FROM CENTRAL ASIA MINOR These are not as fierce, although fully as brave as the Xeibecks. They form a considerable element in what are known as the Bashi-Bozouks, or irregular troops of the Turkish army. They are pure-blooded Turks, stalwart, powerful men.
These must be the ancestors of irregulars of EOKA-B
http://www.armenianhouse.org/bliss/turkey/05-kurds.html