If this extends to the date of departure:
-Check into you initial airport separately.
-Fly to the US main US hub.
-Go to your gates and make sure they load your bags on the plane.
-Once the bag is loaded, wait until 10 minutes before boarding is over.
-Go to the gate agent to renegotiate your position. Keep negotiating until they are going to close the doors. If they do not come back with a satisfactory offer (for me it is a $750 in vouchers per person plus a full refund) refuse to board the flight.
Your baggage is already loaded and the doors are closing soon. They can call your bluff but that requires them to contact the ground crew, get them back to the plane, then have them find your luggage that has been checked in and loaded separately of each other.
-It costs an airline $78/ minute they are delayed. Unloading your luggage will take at least 30 minutes as they are in separate areas.
The total cost for the delay will cost them $2,340.