How do you deal with it when your husband can't help fighting with you in front of your small kids?

For the sake of your child, never ever fall into it whenever your husband initiates fighting, Never get it into your nerves. When your husband is calmer, you can talk to him and explain everything. To compensate from what your kids have witnessed, shower each other with words of love so that the conflicts and confrontation won't stick to the kids' minds.