I wish to add some insight from my experience with the same problem. I am a former Hatteras owner and now have a 43' Californian CPMY. I recently had a new 9 KW Kohler gen installed with great expectations, when it started to labor at times and kick the circuit breaker off. Two things I discovered which may, or may not, relate to your problem.
First, I discovered that after a day of using my inverter, when I would anchor at night and start my generator, the inverter charger would go into high amps to charge the inverter batteries. This was consuming a lot of amperage and along with my three A/C's, created a hugh need for amperage.
Second, when (on occassion and in coincidence) two of the three A/C's compressors kicked in at the same time, there was another temporary hugh draw of amperage. I came to the conclusion that between the inverter charger and my A/C's, when initially starting my gen at night, I would be better to use only two A/C's until the inverter was in float mode, which solved my problem.
However, since then, I've decided to read my inverter and A/C manuals and discovered that my Xantrex Freedom 25 inverter has a power sharing capability that allows me to set a maximum amperage (50 amps in my case) at which, when the inverter detects there is an excessive draw reaching the number, it will lower it's draw to preclude tripping the gen breaker.
Secondly, two of my A/C's are made by Pomponette and they have a feature that allows me to set the number of seconds of minimum delay from turn on, or thermostat call, until the compressor is energized. This permits me to stagger the delay of turn on for multiple A/C compressors to keep the A/C's from drawing excessive amps if two or three call for the compressors to be energized at the same time.
In realty, this may not solve your problem, but I thought I would add another dimension to solving this kind of problem. Honestly, I just discovered the inverter power sharing and my A/C compressor delay features this week, so they are still to be tested, but I thought I would pass it on to you while still fresh in my mind. Karl