How much weight can you shave off of an A-Body...and still have it look/drive like an A-Body?

Honestly - you can cut the skin off the unibody, lay it over a tube chassis chromoly chassis, stick a glass nose on it and some aluminum tinwork, and get it down to 2500 or less race ready depending on the driveline. It would still be easily recognizable as a Duster. personally I don't like glass fenders I have to work over, fiberglass doors on a street car, or climbing over a bar to get in (back is getting tired). But replacing hardware, omitting non-essential parts everywhere, removing or "holing" bracing structure, etc, can get you hundreds of pounds looking bumper to bumper.
yep, and you can get lexan panels and save hundreds too. and lightweight seats, tubular suspensions weigh less.