Are you planning on repainting it with Zolatone or Latex paint or polishing the panels?
If polishing, then chemical stripping. If repainting, mechanical will do the trick.
Mechanical will scratch the surface (possibly through the Alclad surface) - if you plan on polishing, you'll have to get those scratches out. If you go through the Alclad, you will have issues polishing. If you're repainting, the scratches won't matter and will help the new paint adhere better.
If you are planning on polishing the interior - it might be worth your while to consider new panels for the flat work - will save loads of time & effort over stripping and give you a better result for not much more money.
Just my 2-cents having polished the exterior and Zolatone'd the interior on our '56.