I can't confirm if the 83's will, but I would assume they should.
One thing to consider is there might be a trim piece on the bottom half of a Cutlass door that might be screwed (riveted ?) to the door leaving holes that will need to be filled. The guy who did the body on my car almost used Cutlass doors until he realized the trim piece was going to cause extra work.
Best bet is to get a Regal door or at least have a good look at the ones you are interested in on Craigslist.