Israel, itself the possessor of a nucleararsenal of unknown size, is also watching closely and is quite capable of taking unilateral action if it feels threatened as the destruction of the Iraqi reactor in 1981 showed.
Cutting the size of the nucleararsenal to a small fraction of its Cold War size and focusing on terrorists rather than state-based threats may seem sensible in the present environment, but the decisions the administration is making will have consequences for decades after it leaves office.