Yes, soft start is the way to go. Also: proper industrial breakers allow for temporary overload. I have a couple of pieces of gear that have inrush currents well over the limit of a normal breaker so I put them on a slow one and now it is fine.
A 5/32" flat-blade screwdriver makes an excellent fast-blow fuse when dropped across exposed bus bars. And you can re-use the remains of the handle to stir your coffee once you've retrieved it from across the room.
Soft-start is in theory the way to go, but it's very dependent on the motor type, there's a whole pile of different methods required for induction motors depending on whether they're capacitor-start, permanent split capacitor, shaded-pole, etc, so you can do it in some cases by lowering the voltage, or with a VFD, or a VSD, or the old-fashioned way with a centrifugal switch but that requires very careful handling. If as the OP said it's running million-dollar equipment you probably don't want to monkey with it at that level.