Originally posted by Amadeus:
And how do we "resurrect" the 4 ancient Patriarchal Sees of the East, especially now that they are engulfed by the crescent sea?
Amado, my brother,
Ahh, that damnable Jesuit logic
How indeed? The Assyrians solved the problem, albeit not intentionally, and not without some rancor, some bloodshed, and a schism in doing so.
After the termination of the British mandate in Iraq in the early 1930s, there were several clashes between Iraqis and the Assyrians, which resulted in the Assyrian Patriarch (Mar Simon XXIII) being stripped of citizenship and expelled. Mar Simon went into exile in the US and ruled the Church from San Francisco for many years.
In the mid-60s, three issues arose that threatened unity within the Ancient Church: the Patriarch's decision to adopt the Gregorian calendar; his continued inability to reside in the Church's homeland; and the then half-millenium old practice that the Patriarchate was hereditary, generally passing from uncle to nephew within a single family. A spate of episcopal ordinations ensued and the dissident faction elected its own patriarch in the late 60s. This situation continued for about 5 years, until Mar Simon resigned in 1973 to marry; two years later, while discussions were underway to convince him to resume his throne - regardless of his marital situation - he was assassinated. (I don't recollect whether anyone was ever brought to justice for that.)
His successor, the current patriarch, Mar Dinkus IV, was elected from the resident Iranian hierarchy, without recourse to the familial dynastic tradition. On election, he chose to relocate to the US although, as memory serves me, the Synod didn't finally and officially confirm its patriarchal seat to be US-based until about a decade ago (20 years after the fact). His Holiness resides in Morton's Grove, IL.
The schism, unfortunately, continues to exist - the other Church being styled the Catholicosate of the East - although I believe there has been some dialogue in recent years.
Now, assassination and schism wouldn't be my blueprint for solving the problem that you raise

, and relocation of the patriarchal sees, with titular titles tied to the ancient sites, would be dramatic and controversial

, without any question. I certainly won't be the first to recommend it (not that I expect to be asked my opinion either :p ). I suspect though that the possibility might someday be a reality.
Right now, if you look at statistics for those Eastern Catholic Churches which have their presiding hierarch resident in the Middle East, you see that significant numbers of their faithful are in the diaspora - which for them includes the Americas, Europe, and Australia. I don't think the dispersion westward is as marked among their Sister (counterpart) Orthodox Churches, but I don't have a ready data source at hand.
The following are rounded numbers from
Annuario Pontificio 2004 - so they represent 2003 data. (I didn't bother listing the Copts or the Ethiopians & Eritreans, as their faithful are almost entirely resident in their native countries.) Barely more than 10% of the Syriac/Syrian faithful are outside of the Middle East but, for the others, it is 25% and upwards.
Church........diaspora......total
Armenians......315,000.....369,000
Syriacs...........13,000.....123,000
Maronites....1,455,000...3,107,000
Chaldeans......105,000.....383,000
Melkites.........565,000...1,341,000
Many years,
Neil