Acetone (nail polish remover) fumes are quite toxic - with this procedure you would want to make sure there is good ventilation.
Another way to crack the glue bond is to use a fine paintbrush or sponge applicator for the acetone (Goof-off is similar chemically) and keep running that around the seam area while prodding and prising away with a sharp but strong steel blade, loosening one corner first. Once you can lift one corner enough to get the blade in, just paint away at the next stuck part of the joint and follow it around as it loosens.
Rick