I guess the compressor is designed to operate from a lead-acid car or truck battery capable of supporting that current when cranking the engine. You don't say if you are starting against pressure or not, that might make a big difference.
As this thing has two motors what about starting them in sequence, that would at least halve the inrush to start with.
Another possibility would be to use one or more of those crazy big capacitors car audio fans use to provide or assist in providing the inrush.
I fear a successful inrush current limiter may just stop the motor starting altogether