Once you get the mirror off I would consider removing the refigerator and bolting the mounting for the TV through the wall with fender washers on the refigerator side. That wall will not support the TV with screws in it. I would have the bolts come from the refigerator side and castle nuts on the livingroom side to give clearence on the refigerator side and finish on the livingroom side.
WBCCI 12156 AIR 3144 WACHUNG TAC NJ6
2004 Excursion 4x4
1991 34 ft. Excella +220,000 miles, new laminated flooring, new upholstery, new 3200 lbs axles