I cheated- I consulted an expert. My 3 year old girl. I asked her if a unicorn and a binicorn were fighting who would win and she told me neither- Tinkerbell and her fairie friends would sprinkle fairie dust on them to put them to sleep to make them stop fighting. Then she would make them cuddle till they were friends. Then they wouldn't fight any more and play together.
I can't make this stuff up. This is straight from the "expert".