One advantage of strategic non-violence over a world military is that it costs less.
Military forces require expensive weapons, body armor, armored vehicles, air support, etc. A recent report to the U.S. Senate estimated the Iraq war is costing about $400,000 per trooper.
A Satyagraha brigade would require only logistical support such as food, shelter, transportation, communication, etc. Presumably also in a United Nations unit each member would also be paid at some level. But surely the total cost would be less than $100,000 per person.