I doubt that it would be a practical proposition.
The smallest (parallel sided) cutters I work with are 0.5mm diameter and that is huge compared with your blade saws. With CNC you can 'probe' new designs to create the GCode to reproduce the original but it is a lengthy process and the higher the resolution required, the longer it takes. Lasers, suitable for cutting metals are priced well above the hobby market and can be ruled out.
(My CNC machine is here http://www.cooperman.talktalk.net/ and I have shown many examples of what it is good at but I don't think coin cutting will ever be on my list ).