Rather than act as the military commander, Pope Pius V called on laymen to do their protective duties as holders of the civic sword. The Pope led Rome and the Christian world in prayers -- notably the beautiful reflection on the life of Christ known as the Rosary
The Church dedicates this day not to the men of the sword, but to Our Lady of the Rosary. This is not a day to forget the men of the sword, but to keep the sword under religious discipline. There is great significance in tying devotion to Our Lady with the martial vigor of statesmen-warriors. It is a feast day reminding us and celebrating the Christian order of chivalry.
The lessons for men today should be obvious. The duty of clergymen to lead us in the sacrifice of prayer must often be matched by the duty of laymen to lead us in the sacrifice of protective wars.
Video Update: Spanish-speaking Catholics deepen our sense of history in reminding us that before Lepanto there was the centuries-long battle to evict the Muslim Moors from Spain (completed 1492 just before Columbus discovered the New World). From Lepanto came Miguel de Cervantes who would write the great Spanish classic, Don Quixote. Here is an excellent short video on the image of Our Lady of Guadalupe in the historic battle:
UPDATE: There are two other events which we commemorate as victories of Christian men in arms against Islamic invasion. The first is the Battle of Tours in 732 (a century after the death of Muhammad) in which the Muslim forces were stopped in France by Charles "The Hammer" Martel, grandfather of Charlemagne.
And the other is the Battle of Vienna in 1683, which ended the threat posed by the Ottoman Turks. The Polish king, John Sobieski, was hailed by pope and common folk as the savior of Christendom.