MPs are split into a number of difficult-to-reconcile camps over Brexit. Then whatever line the Government now tries to take in any further negotiations with the EU, it faces intransigence. For the EU does not wish to make any further concessions which could lead to other member States looking for such favourable withdrawal arrangements.
The current divisions in the Commons cover - (1) Although they were in a minority on Tuesday; those who accept the deal which the Government has struck. (2) Those who would have accepted the deal if it had not included the backstop arrangement. (3) Those who want a complete break with the EU. (4) Those who wish to retain close links via a Customs Union. (5) Those who wish to obtain a Norwegian type arrangement, which is seen by some as being virtual membership of the EU but without any of the rights of membership. (6) Those who call for a further referendum on the issue - often in the hope that the electorate will now have changed its mind. (7) There might be other "remainers" who feel that if the Commons can't make its mind up, this will lead to a situation which stops us from leaving - or that it may aid other objectives they have in mind, such as moves towards Scottish Independence. (8) Then there are those who are seeking a General Election seemingly on the Brexit issue, but also with many other (not unimportant) issues in mind.
Given the numbers of MPs within each of these categories, how on earth can a parliamentary compromise ever be reached ? Well desperate times call for desperate measures.
What about parliament providing for a ballot (with ballot papers) for its MPs where the above types of options (neutrally worded) are voted upon via the device of the single transferable vote. With valid votes needing to cover all the above type of items by being numbered, say, 1 to 8. Unless the transferable vote finally led to a tie (say 318 each) then the MPs will have made a decision. Otherwise between the last two, the Speaker could pick the winner out of the hat.
If this all sounds to be daft, it at least reaches a position for the Government to pursue. Unlike the current situation it gives a form of clarity.
Added 19th January -