If the diesel truly has a mechanical governor, like a Woodward 3161 (most likely) or a UG8, then it will not parallel in isoch, it has to be in droop to share, this is why you get the instability. If the Waukesha with the mechanical (likely hydramechanical like a Woodward UG8) parallels ok with the diesel with the hydramechanical governor then likely the Waukesha governor has some droop dialed in.
To have an isochronus parallel system you will need an electronic governor, like a Woodward 2301A on the CAT diesel, and a load share system compatible with all three governors. That will take care of the real power sharing. Since these are all different tail ends as well you will also need to either do VAR share in voltage droop, or use an active VAR share system. A cross current compensation system will not likely work well in this case.
What kind of electronic governor is on the Guascor engine?
Ideally if you currently have a hydramechanical governor installed on the CAT then the best conversion option is a UGA actuator driven by a 2301A governor. The factory installed electroninc governor actuator for a 3500 CAT mechanical engine is an EG6 or EG10 (depends on vintage) and has a very different mechanical drive arrangement than the hydramechanical governor.
If the Guascor also has a Woodward governor then a compatible load share system could be fairly easy.
The gas engines have very different dynamic response rates than the diesel unit does. The diesel engine driven unit has the ability to much more quickly respond to load changes, as your system load changes the diesel will respond to it first, especially if it is in isoch, as it only wants to get back to rated speed as fast as it can. the gas engine driven unit tries to also maintain the rated speed set point, but ends up always being behind the diesel, so you get a load change back and forth as the two governors both try to make their engine run at rated speed with no means of telling each other what theya re tyring to do.
Sounds like you're new to this, try this link to Woodward publiations and search "Power Management" or publication 26260.
This is a very good explanation of how governing systems work especially with regards to parallel systems.
Hope that helps, Mike L.