I don't know about that. Just say Turkey is allocated vast quantities of military hardware (maybe obsloete but still worth the result), Territorial concessions such as Greece, Cyprus, Southern Caucasus, Northern Iraq access to Middle Eastern oil, becomes a major power in the Eastern Mediterranean. Sounds like something to consider at least.

With Turkey in the Axis camp German troops could gain transit right to launch an attack on the Soviets through the Southern Caucasus.