[AlexB]

Join the rest of us!

Not saying that's how it should work, but my gut feel is that the Commons will disregard the referendum (the removal of no-deal from the table is the first significant step towards that IMO) and the impasse* can only be solved by pulling the political equivalent of the Dallas Dream Season.

*We won't leave without a deal
*We won't approve the current deal
*The EU won't renegotiate the current deal
*The EU have no reason to renegotiate now that no-deal is no longer a threat
*The EU has no reason to extend Article 50 if there's no renegotiation required
*Only remaining solution is to stay in the EU

Although the Tory government promised to implement the result of the referendum (largely as they thought Leave had no chance of winning), the 'out' is that the referendum wasn't actually legally binding.

So my prediction is that there will some political shenanigans justifying that the above impasse (which the MPs themselves have created) means the referendum result has to be ignored, and the last 2 years will prove to have been a waste of time and money.