That sounds like normal husband wife interaction to me. Dazza and I bicker like that from time to time over what's best for the kids, particularly Max. This being my third time round, I feel I have a bit more experience about deciding what will work best, where as, this is Dazza's first time, and due to his upbringing has no personal experience to bring to bear either. Sometimes he likes to press the point though, so we argue.
I always win in the end though...cause I'm a winner like that.