Update on how I fixed this:
I drilled out the 3 rivets, starting with a 1/8" metal bit and working up to 3/16", at which point the rivets sort of twisted themselves out onto the drill bit.



Then I tapped the rivet holes for 1/4"-20 machine screws. I believe that if you started with a blank casting (like D&R sells), #10 screws would be plenty beefy, but since the rivet holes left 3/16" holes I needed a slightly larger tap.
After tapping, I gooped the holes and screws heavily with Tel-Gel and screwed them in place.



Everything feels secure and fits back together properly. Hopefully it'll hold for another 50 years.
