I hope this doesn't come across as gloating, as no marriage is perfect, but I hoped to show you what is our normal for comparison.
Dh and I have one dd, and a ds on the way. If something one of us does upsets the other, it will be pointed out in a calm voice. Dd is not phased by this, and we continue to be able to interact with dd normally whilst this is happening. There is no shouting or screaming, just a slight change in tone, and a calm statement about what is wrong. If just pointing it out isn't enough to make the other person see that it was not a nice thing to do/say or it's not easily resolved as a misunderstanding, then it would be left and revisited later once we are not around dd. Usually though, just pointing it out would be enough for the other person to realise they were a bit off and apologise, or it to all be evened out, all in front of dd. Again, at no point is dd upset or disturbed by the conversation, and we continue to speak normally to dd, continue playing with her etc, it's not a big deal.
I think this teaches her a calm way of resolving conflict, without it needing to be a massive emotionally charged situation. I don't want her to think that we never disagree with each other as that isn't healthy either. We are human and make mistakes.
The problem is, that for this to work there needs to be a basis of respect and an equal balance in the relationship. It doesn't sound like those things are there in your marriage. I think the way you communicate is broken, and the foundations for it to improve just aren't there. I think you need to go straight into counselling, or divorce.
I would hate for my dc to be in the middle of fights between dh and i. I can't imagine how frightening and stressful that is for a child. You need to take action now to either improve your family life as it is or leave your marriage to give your children peace and stability.