Raising happy, healthy kids during a divorce: possible? Yes, probably in most cases, with enough parent education, and assuming each parent is willing to do enough work on himself and herself to get through the anger.
Here are a few resources to help parents:
Raising Happy, Healthy Kids (CNN article)
Parenting After Divorce (yes, this applies during the divorce too) by Philip Stahl, Ph.D.;
Co-Parenting Survival Guide by Jeffrey Zimmerman, Ph.D. and Elizabeth Thayer, Ph.D.;
Every decision and approach that is good for the children involves focusing on the children, letting go of anger, and giving up something. It’s so easy (and so common) to blame everything that’s going wrong in a divorce on the other parent, but the continuation of blame (and trying to prove fault) is what hurts the children.