I was disappointed that the article didn't elaborate on this possibility. The possibility of a Convention of States [0] looms closer than many realize [1]. Only 34 states are needed call the Convention. Although only 19 have officially voted in favor so far, it's believed that the potential number may be higher if slightly different but equivalent provisions are counted. Given a charismatic enough President whose party controls most of the statehouses, getting over the 34 vote threshold is not impossible. Depending on your political leanings, the possibility could be either thrilling or dire. [2]
You're absolutely right; this could happen at any time. For instance, when the midterm election of an uninspiring administration coincides with recession and rising oil prices...
Inevitably, the first amendment to come out of such a circus will govern who can use which public restroom.