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I think, in the end, even this approach will require God's intervention.  For all of the Traditional clergy to agree would be a miracle in and of itself.

Agreed.  Not only do we have the division between sedevacantists and non-sedevacantists, but there are many division AMONG each of those groups (neo-SSPX vs. Resistance in R&R, and divisions among the sedevacantists, such as sedevacantism vs. sedeprivationism, dogmatic sedevacantism and moderate sedevacantism, etc.).  So if we can't have agreement even WITHIN these two camps (SV and R&R), how would there ever be a universal consensus across all the different groups?  God will have to provide some dramatic intervention for that to happen.

So, for instance, if a group of straight SVs were to hold a conclave, not only would the non-sedevacantists not accept the "election," but the sedeprivationists would not either.  Then, if the current "Cardinals" somehow miraculously elected a +Vigano, the straight sedevacantists would have issues with that, as they don't hold the current "Cardinals" to be legitimate in any way.  No, God will have to solve this mess ... and He will ... and His solution will far exceed anything we could come up with.

History repeats itself. 

God provides the remedy when mankind humbles himself and acknowledges that he needs His help.

When the Western Schism took place men tried to fix the problem and made it worse.  Councils were held to elect new popes.  At one point there were 3 claimants to the chair of Saint Peter.

The remedy to the Western schism was an act of humility and an act of complete trust in God. 

The True Pope at the time called a council to elect a new pope and then resigned so that this could be a valid option.  The 9 day wait period of "sede-vacante" took place and then a new pope was elected. 

(See: Von Pastor's "Lives of the Popes" as a source for this.)

As for what might happen in our times...

I could not say for sure.  That is in God's Hands. 

That being said...  I think that unless a person who most recognize as pope is the one to initiate the Restoration of the Church or resign and elect another better in his place who would accept it?

This is good, too.  Humility will play a big role in unifying Rome.

Nevertheless, this is an interesting thread.    And I do agree very much with Matthew's posts, at how difficult it is to imagine ahead of time how the ring will be destroyed in Mordor. 

Well, they should have just had one of the Eagles carry Frodo all the way to Mordor, and then drop him in with the ring.