That generally devolves into a civil war/upheaval, in which case the structure of the govt means little as you said, because it's about to be reformed.
Yes, well, the previous time it led to civil war. I doubt it will go to that level this time as the stakes are so very, very high for everyone...but makes one wonder what happens instead? (Also makes one wonder _why_ it got to that point last time, rather than the same 'upheaval' that will presumably happen this time? Were people just less aware then of just what civil war actually entailed? Had to learn the hard way?)