HI James,
Good to hear from you again. Your questions will certainly be on my list but multiple motors per machine and multi speed motors are rarely found on woodworking machines so I'll possibly not add this information in the early versions. Therefore I will try and answer this now for you.
Multiple speed 3 phase motors are quite restrictive when it comes to running from single phase.
For a start they tend to be separately star wound for each speed so there is rarely an option to re-wire to delta for a basic inverter although there are inverters appearing that convert to 415volt and provide variable frequency. At one time these were 'back street' modifications to basic inverters without manufacturer approval but approved designs are appearing now.
As soon as a machine has multiple motors then as inverters need to be dedicated to a single motor, the only way to go as you correctly state is real 3 phase or a converter. To get good performance with multiple speed motors a rotary converter is to be preferred.
Ideally the pilot motor should be bigger than the biggest motor you need to run. If the biggest motor is single speed then it is feasible to use this as the pilot for the others but I suspect your largest motor might well be the dual speed one.
Hope this helps
Bob
PS I'm still interested in that chuck when you have a chance to look it out.