How should parents approach sibling rivalry?

Tom Ford explains in this video that in Adam and Eve's family, there was a rivalry between siblings. In society today, it is often accepted that siblings are going to fight, but we as parents ought to teach our children to love each other and to honor God in their attitudes and actions.

John 13:34 (NKJV) - "A new commandment I give to you, that you love one another; as I have loved you, that you also love one another."

So also in Adam and Eve's family we have Cain and Abel, so you have a rivalry between siblings. And in society, often it's just accepted that brothers are going to fight against each other, and it's just allowed in the household. But I don't believe we ought to let it be a part of that relationship. But we need to teach them to love each other just like Christian brothers would love each other, and to honor God in their attitudes, their actions, their words to one another. It would be pleasing to God even with the sibling relationships in our household.