You need to find out for sure because VFD's and high powered PSU's come in with a kick.!

If it is a just a spur then wouldn't recommend you pull everything off it and chances are it's rated 13A.? Most VFD/spindles can potentially pull between 7-8A and 3 axis machine/PSU could pull 8-10 under full load and 10-12 if twin screw setup or 4th axis.?
Then you have secondery stuff like PSU for BoB's, coolant pump etc and then there's the PC.! Heater in winter, alarm clock so you don't miss ya dinner or Coronation street etc etc Ye get the picture.!! . . So all in all you could potentially be pulling over 13A under full load.?

I certainly wouldn't be happy running all this off a 13A spur.! . . . I think you'll certainly be needing your shield and sword for the dragons and trolls every now & again.??