We find that, first of all, domestic violence in itself is a crime. I've been saying this for decades. It should be treated as such. It should be dealt with in criminal courts, where they have the resources to conduct a proper investigation, and not in family courts.
I can't remember the specific numbers offhand, but approximately 70% of domestic violence allegations that come up in the context of divorce are false. Even on the Kentucky survey that I spoke of, question number 10:
Do you generally agree or disagree with the following statement: It is not uncommon for a divorcing parent to make a false violence or abuse claim to gain an advantage in child custody cases?