It is true, that in order to prevent catastrophe, Parliament need to pu aside their differences, unite around a temporary leader such as Ken Clarke, and pass legislation. Then we can maybe get the country back on track. If they do not do that, catastrophe looms. In such a case we would indeed be better off with direct rule from Brussels, although I don't think Brussels is set up to do that, sadly.

We had a similar situation in 1688. A despotic monarch had set out to crush all opposition, and had just convened the Bloody Assize. Parliament invited the Dutch in to restore order and put the country back on the right track. Discontent rumbled on for decades, but in hindsight it was clearly the right thing to do.