Given that there was antipathy between the platoon commanders of different companies while I was in basic, I am not surprised there was such between high level commanders in a large deployment of international forces. It is to be expected.
The biggest problems we had with staff company, because recon and staff shared a barracks, they were on second floor, we were on first floor and we beat those pencil pushers and cable runners at everything, they didnt stand that.
Especially nice was our victory over every company in the battalion in the so called soldiers march, our slowest section beat the next companies fastest by an hour and a half and unlike them we were fighting fit over the line, not winded and the less said about the logistics compantys performance the better.