The alternator should be safe up to 1128 amps ov normal loads.
If the set will support the load then your engine has adequate power but you may be voiding your warranty.
Some sets are rated to allow a 10% over load 1 hour in 10 or something similsr. It appears that you will be exceeding that limit with your proposed loading.
However if this is an existing set that you have to live with and the set is off warranty and you want an appraisal of the
possible problems I will make some suggestions.
If the engine is in good shape and it slows down it is overloaded and will not carry the load. Period.
If it carries the load, but blows clouds of black smoke, check the engine. This may be a sign of a malfunctioning turbo, a plugged air filter or other malfunction.
I understand from one of the automotive forums that a diesel may be blowing a lot of smoke when it is developing peak power. This is great for a dragster but not for a generator set with neighbours phoning the EPA.
Most engines that I have encountered in your size range will not be damaged by power outputs below the black smoke limit.
I would suggest watching the coolant temperature to check that the radiator is adequate for higher power outputs.
If there are reliability, warranty, insurance, and/or code compliance issues then you probably want a larger set.
If you have none of these issues and the set is supporing the load, it will probably continue to do so.
Your minor and major overhaul hours may be a little less than the old rule of thumb of a minor overhaul at 15,000 hours and a major overhaul at 30,000 hours.
Oh and by the way, I have encountered over the years, a couple of prime power sets that had the engines specified and set up at 125% of required power, so that they could lose 25% of their output due to age and wear before they couldn't carry the load. These engines would run a long time, 24/7 between overhauls. If you have lucked into one of these, you are good to go as is.
respectfully