If the parts are all flat, then there's no need to model in 3D for the CNC process.
We cut hundreds of sheets per week for cabinets, and all the parts are drawn 2D only.
There are cabinet packages than can give you both 3D views, and export 2D drawings for CNC use. Packages for commercial use tend to be about $10,000 and up.
You might want to look at this one.