This business about letting W take kids to live in a foreign country is very disturbing to me. As the child of divorce, it pained me greatly that my father let my mother take us wherever she wanted. If definitely told me that he didn't care about me.
Also, I'm wondering what your motive if for letting W do this. Is it a misguided attempt to win her back? Is she having an EA with someone in her home country? That would explain how she "lost her mind" when you initially said no.
This whole sitch is very very concerning to me.
Me: 44 H: 48 M: 4 yrs My EA: 2010 & 2012 Me arrested for DV: 10/28/11 H left 1st time: 10/28/11 Reconciled after I pursued: 12/21/11 H left 2nd time: 12/23/12 Kids from OR: S16, S10, S8