He had already told her, very clearly, he won't let her take the children from him that it is an impossibility Even after that she tells him about the abortion as if that would swing it her way

I reckon she was totally irresponsible abandoning the children in the unholy and evil environment, she was escaping from, with the father she herself said is blind to everything other than business and Anthony's friends were his buttonmen

How long were they with Michael? When did Kay get them?
Dartmouth alumnus Michael with all his power, money and resources couldn't be entrusted with their education!