She is beyond 'time out', IMO.
She needs professional treatment.
ATM I think her kids are better placed with their Father than her (she clearly has no control over her own life, she is not in a position to meet their needs).
There are ongoing court proceedings with regard to the family. Am sure they are having to assess KF's abilities to parent as much as her's - this is a custody case, after all.
I'm not saying he is man of the year or anything (only need to look at his own history to draw a conclusion on that one) but he has been deemed an appropriate carer for his children.