Awesome fridge!
I wouldn't remove the stuff on the back unless it is very important to you to get rid of it; personally, if I was going to get it taken off I'd get a professional to drain the Freon first, for environmental and personal safety reasons, but that's just me. There is a great link about converting a fridge to an incubator somewhere around here... Will edit to add the link.
Be sure to update when you're done your conversion!
EDIT: Here ya go: http://www.arbreptiles.com/cages/incubator.shtml