Are Roman and Greek demigods natural enemies?

I think that if we were raised together the fighting probably would stop. But there might still be arguing. Since the Roman demigods are less friendly and more warlike like Jason said they would probably be more prone to fighting than we are so there would be some arguing, but I don't think we would kill each other. Because we haven't known about them until recently, its probably the same with the Romans, so I can't see them being raised to hate us if they aren't allowed to learn who we are. I guess Roman and Greek demigods used to fight because we're so different.