What i found out so far for Incirlik RWY23 is, wind minimum 5-6 kts straight onto the RWY, ILS on. Wind offset up to 51 degrees, minimum 9 kts. Wind offset >51 degrees, no ILS. Otherwise ILS RWY05 is on.
works the same for Akrotiri and Ramad David (they have only one ILS).
No Wind and under IFR conditions, ILS is allways on for the main RWY.