Now, silly smartassery aside, axes simply aren't balanced. They are literally designed to be unbalanced for extra chopping power. An axe is a pound or two of metal mounted on the end of a totally straight, balanced, wooden haft, like a teeter totter with a fat, bald headed serial killer on one end. Calling an axe balanced isn't just some sort of realism issue, It's literally saying you don't believe the laws of physics should apply.