Easiest/ fastest way to bring body down to bare metal

I'm using a combo 80 grit sanding discs and hand sanding. I have found three shades of primer, pea green, rust red, and gray under the original paint. I've been told I don't need to go to bare metal only make sure the original paint is up so that it doesn't react to the new paint when sprayed over it through the primer. The toughes time I've had is getting into corners, for example seams, under the battery tray, radiator yoke and all that. Will a dremel work or is it to slow and or weak to grind rust?

I've been using kleen strip and a wire brush both on a drill and by hand to hit corners, it works quickly.