Greetings in that Divine and Most Precious Name of Our Lord and Savior Jesus Christ!
Well, the Pope can't just suddenly do that himself. Surely it would take a great Council to effect such a reunion.
Theoretically, the Pope could return the Church to "orthodoxy" himself by using the language "declare and define" acting alone and without the consent of any bishops or council, it just wouldn't necessarily reunite the Eastern Orthodox and the Roman Catholics - just put everyone on the same page faith wise. It would rip up the Catholic Church though so even if Pope Benedict wanted to do it I'm not sure that he could.
Yes indeed, our distinctions and divisions are generally more deeply sociocultural, historical, and political than they are theological. That being said, even if the Pope of Rome were to abolish the schism, and even if all the ranking Roman clergy were to be in agreeing sentiments, and even if the other jurisdictions of Orthodox further are in agreement amongst the ranking clergy, still, the people themselves harbor centuries of wounds and divides which can't be overcome by any top-down gestures. The reunification of Our Churches must start from the bottom up, it comes from the people, from the laity, from the hearts of Christians themselves, and what the Bishops and clergy do is really more a kind of reaction than an instigation.
So unfortunately you are quite right, any top-down attempts at reunification would only further splinter and divide the Church, be it Roman Catholic, Orthodox, or otherwise
We then need to pray in the Spirit of love that Christians began to heal these wounds that divide amongst ourselves. We must learn to acknowledge the real causes of our divisions, and see them for what they are, rather than keep pushing them aside for to only further entrench them into the confusion of yet another generation..
Besides, even IF Constantinople and Rome were to formally unite, who on Earth could ever get not only all the us Orientals to jump on board