[shilala]

Jared, looking at the fridge you have in the dry bar now and the new one you're planning on using, you're going to want to look closely at the book that comes along with the new unit.
Your old fridge likely has the condenser coils built right into the side wall of the unit. It needs airflow to dissapate heat. The loose fit in the dry bar allows just enough circulation for it to operate reasonably without running itself to death.
The new one apparently has a fan forced condenser on the back of the unit, I can tell by the fins cut out on the top back left of the unit.
If you jam that thing in that dry bar you're liable to have a bunch of trouble, even if it goes unnoticed. The unit will cycle constantly and basically run itself to death if it can't breathe. You can counter that by cutting a grill into the side of your dry bar near where your new unit vents it's heat.
These little wine fridges are not designed to be built into cabinets. If you want one that's designed to be built-in, the condenser is located under the unit and the fan expels the compressor/condenser heat from a grill at the bottom front of the unit just like most kitchen refrigerators do. They cost a good deal more, as well.