Mach3 is a controller, similar to the Fanuc Controller. It won't help you in your situation.
The post tailors the g-code output from CV to your machine, as different controls use slightly different flavors of g-code. If the machine comes with a CV post, it should work for you. Your machine manufacturer igfht also be able to supply you with a different post, if needed.
I'm also a cabinet maker in a large commercial shop, so I have some background. Our company actually spent a month with Cabinet Vision when we first got our machining center almost 10 years ago. It was very buggy back then, and I wasn't happy with the support, so we went with Pattern Systems, which was actually a better fit for us.
Anyway, back to you're issue. CV should do most of your casework stuff by itself. Depending on what else you want to make, there are far cheaper options out there that may work just as well for you. Take a look at Vectric's V-Carve pro or Aspire. Powerful software, easy to use, for a LOT less than Alphacam or MasterCAM. And free support, and posts too.
www.vectric.comYou can export your TurboCAD drawings into Vectric's software to do all your toolpaths and gcode creation.
Gerry