Kings uniting with kings, going to war against other kings. Inherit in the title "king" is to be ruler over all. There cannot be two kings over a given land, and if a king wants more land in his kingdom, he must defeat the kings of the lands he wants to conquer. Yet, these kings in Genesis 14 were uniting with other kings to defeat other kings. What is in the heart of a king to ask another king to help him overcome yet another king? Are kings willing to share their kingdoms? No, they will fight to keep them! What we have here are multiple, crissed-crossed strategic "chess matches" with one goal in mind, to be The King over all.
In battle, it is the king's army that does the fighting. These kings are uniting their armies to conquer other kingdoms. They will divide the spoils later, and then the real war between kings will begin!
There is only one God. He is the "King of kings."
~dkg