The two mainstream regular or Nizam cavalry units were composed of both Anatolian and Arab troops, with the Ottomans wearing a kalpack while the Arabs continued to wear their kuffiya cloth, all that on the regular army uniforms. Both types fought in Mesopotamia and Palestine. Irregular cavalry just wore their traditional clothes - I believe the Osprey book on the Ottoman army has some depictions.

The same goes for infantry, there were both regular Anatolian and regular Arab troops, also wearing their kuffiya. So, yes, 1 set would not be enough...