Turkey as a Nuclear Power

With a POD of 1945, would it be possible for Turkey to become a nuclear power at some point during the Cold War?
 
IOTL they are under the American's nuclear umbrella, so the issue is to either remove that umbrella or make some series of Turkish governments consider they need an independent nuclear deterrence.
Things that come into my mind:
*Avoid cold war altogether. Hard with a 1945 POD, though. Under such an ATL, the Turks might still want a nuclear deterrence against the USSR
*An unfriendly regional power gets nuclear weapons and the Turks don't trust the Americans to protect them against that country. The obvious choice is Israel, and having Turkey involved in the many wars in the middle east is likely to do the trick. Israel, OTOH, wouldn't bomb Turkey's nuclear research facilities as they did with the Iraqis and Syrian ones. Then again, with a 1945 POD, other countries can remain aligned with the USA and, yet, unfriendly with Turkey.
 
Under a NATO nuclear-weapons sharing agreement, they have American nukes stored on their territory that can be transferred to Turkish use in times of war.
 
Turkey should be able to get the bomb somewhere around the time that Pakistan did, I suspect, if they were willing to spend the necessary time and money on it. The question is, why bother? Assuming the NPT as OTL, which may not be valid, making their own bomb might get them kicked out of NATO. Now, if you were the Turkish military, would you rather be protected from the Soviets by 3 Turkish Abombs, or the entire US arsenal?

Edit: if they wanted to, they'd have to build some reactors for power purposes first. Preferably CANDUs (preferably: as in their the easiest for rogue states to get fissionables from. Sigh). Googling, they seem to have NO power reactors ATM.
 
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