Let me ask a question that I seem to be the only one interested in: What is your goal? I mean your big picture goal?
Is your goal to upgrade your manual mill to a CNC mill and you are building the stepper motor controller because that is required to achieve your goal? Or is your goal to learn about stepper motor drivers and the CNC mill happens to be what you chose to apply that knowledge to? That is an important question and the path I recommend for you will be based on your answer.
In short, if your goal is to make yourself a CNC mill, I would recommend that you look at buying a stepper motor driver or maybe even a full controller. Doing a 60V, 6A driver does not require black magic, but it is not trivially simple either. If learning to build one is not your goal, you may want to consider buying.
Before you talk about the cost of buying one, think about the big picture cost. If your controller is not really well designed, it may miss a step when over-loaded. What is the cost to you if you are a little aggressive in your feed rate and one of the axes skips a step and you end up having to scrap the piece? What happens if the tool chatters and the table is not able to feed correctly because the motor is unable to handle the additional load and you have to scrap the piece? Those concerns are much less if all you are doing is wood and much worse if you are planning on doing steel.
And to answer your question, you will not be able to just upgrade the transistors in your current circuit and apply a higher voltage. You will need drives that can drive the higher voltage transistors and you will really have to consider switching from transistors to MOSFETs because at 6A current, a MOSFET makes a lot more sense than a transistor.
---55p