You have two main power boxes in the building but it is almost certain they are both connected to the same transformer. All you are doing is pulling the transformer voltage down when the compressor kicks in. You don't say but I am guessing your compressor is runningon single phase; that would be a very large starting surge.
One way that you can reduce the starting surge on the compressor is fit a centrifugal or fluid clutch on the motor pulley; this allows the motor to come up to about 70% of top speed very quickly. Actually it doesn't reduce the surge it just makes it a lot shorter so it does not exceed the low voltage parameter timeout on the Haas. Contact an outfit that supplies pulleys and belt they should be able to help.
An alternative to take the surge away completely is put an electric clutch on the motor pulley, wire this to the pressure switch and leave the motor running constantly. You only get a big surge the first time you fire it up in the morning.