I think whoever can pull the sword of St. Galgano will be the Great Monarch.  I don't think knowing the identity of the Great Monarch is as important as creating a movement for the restoration of the Monarchy.  As long as the ideals are based on the life of St. Galgano and the message contained within his life you will find yourself on solid ground.  The mentality of the general population, especially in France is secular and rife with Masonic ideals.  It is well known that the illuminati had two missions: to destroy the Monarchies of Europe, and two destroy the Catholic Church.  Most people don't realize that their thinking is erroneous and can't conceive of the fact that the so called enlightenment period was a time of great darkness.  There are a lot of forces against the fulfillment of these prophecies.  People have a lot to lose, which means two things.  Things will become so desperate that the vast majority of those living during these times will be preoccupied with their survival, or that God will intervene and correct the errors of history.  Think how far we are from the fulfillment of those prophecies.  The Church always preaches obedience to the Magesterium, but none that I know of proclaim obedience to a King.  This was outlined in the Alta Vendetta docuмent published by the freemasons in how exactly they were going to overthrow the Catholic Church, they were going to influence the minds of the people.  In order to have a counter-revolution you need an ideology that speaks to the heart of man.  The sword of St. Galgano is the past reminding us that we forgot something along the way.  

The head of St. Galgano was found to be incorrupt, decapitated, and processed.  It was known as the Magedline, and said to grow hair and have miraculous healings.  The Cistercians were founded by St. Bernard of Claeurveux, himself once a knight, in France.  St. Bernard of Claeirveux was a prominent figure in the crusades and he publically backed the Templars.  His Uncle was a founding member of the Knights Templar.  After Galgano's death the Cistercians proclaimed him a Cistercian Saint, and were the ones in possession of the Magdeline.  The Relic was moved from location to location to protect it from Holy Theives, and it is quite possible that the Templars would have performed this duty as they were active in the Sienna region, and they were closely linked to the Cistercians.  What is interesting is that the Accusation against the Templars by King Phillip was that of them worshipping a mysterious bearded head.  The persecuition of the Templars is perhaps the reason that the Legends of King Arthur are world known while knowledge of St. Galgano remains localized.  The death of King Phillip itself perhaps from a Templar curse, started the war of succession which ended with the arrival of Joan of Arc, and the crowning of the Valois King Charles.