In Iraq the contingent is fully integrated at every level and, the commanders say, harmonious.
The deputy commander and chief of staff is a New Zealand army officer who, under New Zealand government policy, can't be identified.
"A lot of us don't even think that we are Kiwis or Aussies. We relate more to being members of Task Group Taji," he said.
"That means we can get the best out of all 400 of us."
Colonel Keating said there was a friendly rivalry which was a positive for keeping people on their toes and getting the best from everyone.
Training team commander Australian Lieutenant Colonel Jim Hammett said they had gone past all the jokes about accents, sheep and sport.
"We have made the comment among ourselves a couple of times that it's almost a shame we wear different uniforms," he said.
- AAP