If you see anything but a shiny finish you have way too much on or the finish was a satin finish to start with and the wax has filled the textured surface. Wax is basically a heavy paraffin so any paraffinic hydrocarbon should remove it. Mineral spirits will work but anything else handy should also do it.
As mentioned, mineral spirits and other solvents will work but they can suck an oil finish out of the stock. I use it to remove old oil finishes from stocks before recoating. For wiping off wax, use some lighter hydrocarbon like heptane.
The best advise is as stated above; buff it down good and enjoy the shine. If it is a poly finish on a modern gun, don't worry about any of this and wipe it off with mineral spirits then don't do it again. You don't need it. Poly and plastic finishes are waterproof. Damage to the stock would be caused by wood getting under the butt plate or into the action and infiltrating the raw wood in those areas.
