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Oh yeah, good shout, I should do that.
@airhead, flat-pack-ability is probably a big bonus tbh as I'd like to market the design if it's a success, I'll go that route. I've only got access to a 2-axis CNC so will have to do the 'endgrain' holes by hand, but will create a jig to make that faster and more accurate.
Polygon-
It is possible to make a router jig to cut holes for dominos.
When I was looking into these type of machines I opted to buy lamello zeta P2 but I still have the need to use dominos occasionally so I spent a bit of time making myself a jig that means I can use them. It's much more of a faff than buying the machine but it did save me quite a lot of cash.
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Have you given any thought to levelling the base. If you produce something with a base that sits flat on the floor you will have all kinds of problems with uneven floors. It gives you lots more to think about in terms of where the load is distributed too.
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Just another word of advice. If you're doing this CNC and relying on the thickness of purchased stock for your measurements (for grooves, for example), be careful. The MDF and ply will almost certainly be different thicknesses.
Bobbo
Airhead
fizzy.bleach
Assuming the "shelf" above the cupboard doors is the only weight-bearing surface, you could rout a groove into the back panel if you were concerned.
All options mentioned above are good. I guess it comes down to whether you value speed, simplicity of construction, cost or strength.