You don’t move hardened aircraft hangers. The nuclear weapons themselves are easily moveable.
From the link I posted above:
Incirlik Air Base is the largest nuclear weapons storage site in Europe with 25 underground vaults installed inside as many protective aircraft shelters (PAS) in 1998. Each vault can hold up to four bombs for a maximum total base capacity of 100 bombs. There were 90 B61 nuclear bombs in 2000, or 3-4 bombs per vault. This included 40 bombs earmarked for deliver by Turkish F-16 jets at Balikesir Air Base and Akinci Air Base. There are currently an estimated 50 bombs at the base, or an average of 2-3 bombs in each of the 21 vaults inside the new security perimeter.
So, presumably, the procedure would be to retrieve the bombs from their vault, attach them to the waiting F-16, tow the F-16 onto the runway, and it's off into the wild blue yonder. That is, if the whole place is not a smoldering crater by the time the order goes out.
Keeping nukes on that base is a truly hare-brained idea!