Kings used to lead their countries in war. Many died in such a cause.
At least three kings of England died killed in action between the 11th and 15th centuries. The first was Harold II, the last Anglo Saxon ruler of England. After killing the Viking king Harald Sigurdsson (yes, another “Harold”) at the battle of Stamford Bridge in 1066, England’s King Harold II would also die just days later at the Battle of Hastings. Reports on how the ruler was killed vary – some suggest that the Harold was killed in a melee with Norman knights including William the Conqueror himself. However, the famous Bayeux Tapestry suggests that Harold was actually shot in the eye with an arrow.
http://thisiswarblog.wordpress.com/2012/08/03/checkmate-kings-who-died-in-battle/
I think that is the president was forced to go serve in the front lines of battles, he would be less willing to commit our troops to war. I make this statement as a broad brush stoke that goes back to President Harry S. Truman and his "police action" of the Korean War.
Its easy to send men/boys off to die from across an ocean. When you have to look them in the eye beforehand and look at their bodies afterwords, its a different story.
Many of these presidents were vets, yet still sent boys off to die in other countries for political purposes. I don't think military service is the solution. I think sending him to stand with his soldiers is.