1) Turks were never subjugated by Arab/Persians. 2) It doesn't have much to do with religion, the Ottoman rulers were simply ambitious and competent enough to to achieve their goals. 3) Already in 1055 the Seljuk leader Tughril relegated the Abbasid Caliph to state figurehead and took the real power + the Mamluks who ruled over Egypt were largely of Turkish origin too.