I don't believe a '62 Bambi has
original clearcoat. It wasn't an option until 1964
Regardless, if you want to get it off easily, use Kleen Strip Aircraft Stripper. It's available at Pep Boys, Home Depot, etc. Be sure to read all the warnings, this stuff is N-A-S-T-Y but it works! There are milder chemicals and other methods, if you do a search of the forums using "stripper" or "clearcoat stripping" you'll find lots of info that will give you many options.
Oh yeah, welcome to the forums!