You have a good point: there are few things held more securely in this country than info on nukes. It is a huge stretch to think these guys did this on a whim.
But one of those things is the nuke warheads themselves. This story is pure BS, three disgruntled unnamed airman or some other BS source, who have no idea what they are talking about, IMO. Nukes dont get accidentally moved. They dont even get accidentally touched.