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I'm not familiar with the machine you are running, but it's a fair guess that the X and Y axis motors, power supplies and drive lines would be capable of handling the forces required to feed the bits the machine is intended to use through the material it is intended to work with at the feed speeds the supplier quotes.

The only advantage of a more powerful spindle is the ability to turn larger bits at similar spindle speeds, or turn the same bits faster if you are not able to currently achieve the max spindle speed of the machine with those bits. Either of these options increase the force required to feed the bit into the work, and the X and Y motors may not be up to the task. The Z axis motor may also be beyond its limits also as it would be trying to lift a larger, heavier spindle.

I used to run an industrial CNC in a cabinet shop with a 8KW spindle. That monster had twin 750W AC servo motors for Y and single ones for each of X and Z, driving through rack and pinion systems to transmit the power. I'm guessing that a 4KW spindle fully utilised could probably over power your feed and DOC motors.
 
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