One would also think that if there were any chance she really believed this stuff, she wouldn't be calling you to take care of D! Document everything!
Ding Ding Ding! We have a winner.
What your W is accusing will be used against her. When the court discovers she makes stuff up, that will be the end of it for her credibility.
As for the Bratz doll - The doll may look slutty, but I bet it does not give nearly as bad an example to a young girl as her own mother openly cheating on her husband.