Okay. So, let me try to rephrase my understanding of what you're saying: You want to build both of the Jaycar Theremin models into one unit and make them somehow selectable, for convenience or coolness or because you want to emulate the concept of the Ethervox without the Moog price tag. Do I get it? Now, please forgive me while I think aloud at you about this.
The Jaycar MIDI Theremin is two boards already, both reasonably dense looking (I've got the assembly manual open in front of me right now). The original model Silicon Chip Theremin kit from Jaycar is one board, if you're contemplating building the new Silicon Chip Theremin Mark II kit, I don't know yet how many boards it has. Honestly, I don't see a lot of reason to put it all onto one board - and in the case of the MIDI, one board is for the controls, allowing you to put the controls in one location (mounted just inside the top of the case) and the main circuitry slightly separate. So, there might even be some benefit to keeping the boards separate at least somewhat.
Next comes the issue of how they could be hooked up. I strongly suspect that if you set it up so that both conventional and MIDI theremin circuits are powered up at the same time, one would interfere with the other. Theremins are notoriously finicky beasts, and having another electronic circuit in the case with one could very well screw it up badly. So, I'd strongly recommend that a first step would be a switch to select which unit would actually be powered on. Some factors to keep in mind about this are that if they don't use the same power supply (I haven't checked) you'd have to have separate power inputs for each unit (so, two power cords to the case), and also that I understand the conventional Jaycar theremin takes some 10-15 minutes to warm up and stabilize, so you couldn't switch quickly back and forth between the two.
You may be able to prove me wrong. Perhaps both units can operate together in the same cabinet and not interfere. I sincerely doubt it, but if you can prove me wrong (by doing it) that'd be really cool.
Next is the antennas. I strongly suspect that if you wired both instruments up to the same antennas within the same case at the same time, the presence of the inoperative instrument will interfere with the operative instrument. So, I would suggest installing switches to allow you to select which instrument is connected. (Maybe you can find a way to use one switch that could allow you to switch the power and both antennas between the two units all at the same time? I think somebody must make triple circuit switches, don't they?)
Let us know how this project goes, it sounds like you could end up with a very unique instrument. If you make it work, please consider making detailed notes and detailed photos and submitting everything to Theremin World for our kindly webmaster to post it as an article, so others can try the same trick.