I am positive it will cut balsa, not sure if there is a CNC machine out there that cant.

Robin, AutoCAD and SolidEdge are design programs, you will need a CAM program that will be able to translate the design into GCode and then you will need controller software, most likely Mach3, thats what I use. Your biggest hurdle to overcome will be finding the right CAD/CAM combination that works with your machine and machine software, trust me, I know!