[Arran]

Karl;
I can't say for sure, but it's likely that the base is made out of tulip poplar, unless they used Aspen for that too. Aspen is a cheap wood much like poplar, though I really have no idea how stable it is. Poplar grows fast, and rots easily, but it's stable and shapes well. It looks like someone already had a go at repairing the cabinet, there are nails through the top, the odds are that if you take those out the cabinet might just come apart, which would make it easier to repair. I'm not sure what to suggest for repairing the broken foot, that was likely made with a shaper, it's like a large rounding over bit was used on the outside, and a cove bit on the inside.
That being said this model is somewhat collectable, whether it's something worth farming out like a Radiobar cabinet is debatable, but at least every surface is flat. If you know of someone who does woodworking, particularly furniture building or repair, as a hobby it may be worth asking. By the looks of the upper corner above the dial, I think they may have mitered the corners together. Found a page with some Mexican woods, do any look familiar? https://parotas.com/en/types-of-wood/
Regards
Arran