My recollection is the demand charge is the maximum power used over a 15 minute period, not the startup or LR power which is seconds. "The demand charge is calculated using the 15-minute interval in each billing month when your business uses the most electricity. If you can lower your highest usage 15-minute interval, you can save. Your regular electricity usage charges can be roughly 30% lower than for a comparable rate plan without a demand charge.” Not sure if you are metered as residential or a business and there may be a difference in the demand billing. The other question would be does the demand charge change with the TOU, so say if you ran the pumps say the middle of the night would that change the demand charge. Although there are also limits to maximum current drawn/Hp that might also apply. So a soft start would decrease the startup amperage but unlikely to effect the peak demand charge.
Alternative might be a smaller motor run over a longer time frame assuming it can supply enough pressure for the application. If you have 3 phase power in, then and alternative to motor replacement would be to use a 30 Hp VFD and run it at a lower speed, this is the bases of many variable speed pool pumps and you flow is not linear but would need to look at the particular operating curve, GPH and pressure. My only experience is with variable speed pool pumps and at around 70% flow rate I am consuming less than 1/2 motor rated amperage. Fuji makes some reasonably priced 30-40 Hp VFD's of 3 phase input power. There are also high efficiency single phase motors used for pump drives.
Fuji 30 Hp VFD FRN030G1S-2U
Fuji 40 Hp VFD FRN040G1S-2U