oil and water

Oliver and Abigail usually don't mix well. I'm not sure why, but I suspect it's just a middle child pestering the younger and the younger preferring the oldest sort of thing. Regardless, it can be quite annoying. They seem to pick fights with one another over nothing- often culminating in a simple, very irritating, "yes/no" battle over who knows what. Sometimes, we've found that upon entering a room, Oliver will just take her blanket or touch her chair or really do just about anything to get a rise out of her. Other times, we find that Oliver will enter a room and she'll just scream for no reason. (We've had to apologize to him numerously for our quick assumptions during those times.)
I'm hoping this is something they will grow out of. I'm hoping the baby will bring a little distraction from their ongoing battle. There have been a few times when they've played very well and I love those times.
Today, at lunch, they were at it again, just repeating, "yes, no, yes, no, yes, no" to one another and when I intervened and told them to stop. Abigail said, "Jesus stop Oliver." I wasn't sure if I heard her well, so I asked, "Did you just say, 'Jesus stop Oliver.'?" She said, "Yes." So, I told her that she could just pray about that. I'm still wondering if I heard her correctly... and wondering if this is the type of faith I want to commend.... hmmmm.
Regardless, doesn't that seem like a common response to interpersonal conflict? We often pray, "God, please change that person." My hope is that God will help me be one to recognize my own "pleasant" contributions to conflict and thank Him that I have more time to teach my children the same.