the reason i asked about whether or not you needed them to run at the same time
is system reliability.
in my opinion, not having any control over when the pumps run and most particularly when the both start can present even more issues that you have encountered so far.
without some sort of control, how will you be certain that both pumps don't decide to start at the same time, let alone one running and one starting?
it would seem to me having some control over the start/run of these two pumps would make the system more dependable and less costly in the initial investment.
i don't know what the starting amps are for your pumps, but if both decided to start at the same time, i can see the amp draw exceeding your 8kwatt surge (after going back i see you are exceeding that with one running and the other trying to start)
personally i think you are going to have to go either with a much heavier inverter system, or embrace some form of control.
so basically even if you come up with a method of running one and getting the other to start without tripping the inverter, conceivably there will be a time when both start at the same time and trip the inverter anyway.
without control you have to plan for the absolute worst case scenario, it is something related to "murphy's law"
bob g