Jim,
It sounds like the temporary apartment is your best choice, go with that and fight for your boys as best you can.

Moving your boys back and forth between two countries sounds insane. How would their schooling even work? I doubt any Michigan judge will go for that.

Me-LBH, 48
Spouse-WW, 48
Married for 19 years
Son, 12
BD #1 - November 1998 (EA 7 months after wedding)
BD #2 - November 2015 (same XBF EA)
WW filed D February 2016
WW moved out April 2016