I know this one has a part missing. Now, I am almost certain it is just the rewind handle and cylinder (i.e. external) and I assume that the screw in the shaft has fallen out at some point. I have a photo on my iPhone of one of the display cabinets and a blurry 35 RC but it does appear the shaft is there (attached).
I think you do not have the shaft. See pic below: the black protrusion in the middle of the cylindrical depression of the top plate is not the shaft, but the shaft casing, permanently part of the body.

Also on this pic, left-to-right two rewind mechanisms from parts cameras, and the mechanism of my 35RC. Side note: the Trip 35 rewind mechanism (not pictured) has all different dimensions; no way it could be used.
Cylinder + handle can be adapted, but shaft is critical:
- length of cylindrical section
- diameter of cylindrical section : too large --> will not enter; too small --> light leak
- distance between the shoulder on the shaft and the fork that engages the cartridge reel.

On both of my spare parts that distance is too small by a significant margin. Even assuming other issues solved, the fork would not engage the cartridge reel.
If you nevertheless wish to
use that camera (as opposed to shelf queen) you can, provided:
- you block the entry of light through the rewind hole, either with plug, or a piece of black gaffer tape on the inside, or both;
- once you reach the end of the film, you open the camera in total darkness, actuate the small wind release knob, and manually rewind the cartridge
If you wish to use the camera in auto exposure, you will need to address the issue of battery voltage; numerous discussions on the web. Probably you need to install new foams. And check the shutter speeds. And the rangefinder calibration. Once you are satisfied that you found your user camera, maybe you can invest in a "parts" camera to steal the handle. Which personally I think is a pity because "parts" often means "I cannot check that camera and don't want to be bothered with returns". Or buy the handle by itself.