If they were members of the same church I can see this application.
Allow me to suggest, dear brother in Christ, that it is FAR worse for Christian chaplains of differing denominations to sue one another.
These men must rely on each other on deadly battlefields. My best friend when both Haiti and Somalia was going on was a General Baptist. He was an absolutely dear brother, and we'd do anything for each other.
It would have been an absolutely, judas-type betrayal for me to violate the trust that he and I had.
When you've got a brother's back in a battlefield scenario, denomination SHOULD be one of the least of your concerns.
We aren't disagreeing about the need for unity in the military especially in combat.
Let me throw it back to you a different way. If instead of the promotion being less likely for a chaplain of a different denomination than the chief's it was less likely because of the candidate's race what would your reaction be?