Whether the Pope gives official recognition is not the fundamental problem the SSPX is suffering from at this point.  The fact that Bishop Fellay is committing the SSPX to a course of conciliation with error has already become manifest.  Merely avoiding a public deal solves nothing.

The real problem is the malignant clique that is operating under ʝʊdɛօ-masonic influence.  

The solution to the problem is quite simple.  Systematic disobedience to the Fellay/Krah/Pflueger clique, by the a large section of the members of the SSPX.

That is, they should preach whatever they believe.  They should be bold.  They should refuse to cooperate with orders to leave.  With expulsion notices.  They should force the police to arrest them.  They should force Bishop Fellay to show the brutal hand of his tyrannical cult-like regime.

In that way, it will not matter what the clique does anymore.  They will have lost control of the society.  The Society is ultimately made up of the priests, not properties.  The priests can save the society.  Don't leave.  Fight.  Like they fought for Saint Nicholas du Chardonnet in 1977.

It is impossible to believe that Archbishop Lefebvre appointed the Superior General to go against the majority of the bishops of the Society.  He has usurped authority, as have the modernists in Rome.