I can only share the basics. Other KA dishwasher experts will have to provide more detailed lists of things to check.
If the machines haven't operated for an extended period, you should pour the hottest possible water into the sump area and let it sit until it cools. This will help to soften any seals that may have dried from lack of use.
Give the wash arms a spin. They should rotate smoothly without any chattering.
Check the flat tube in the bottom of the upper rack that feeds the upper wash arm for cracks. Any cracks may not be evident from a cursory visual check, but even a small one can cause spray action in both upper and lower wash arms to diminish.
If you hear an "urping" sound from your sink drain (or from the end of the drain hose if it's not connected to plumbing during testing) when the Selectra is operating, that's an indicator of a bad check valve that is stuck open. This can also inhibit wash action. The check valve lives in a plastic housing where the drain hose connects to the pump. It's just a rubber flap. If you remove the housing and blow into the outlet end -- that is, in the direction against the flow of draining water, and you can easily blow through it, then the valve is bad. I think GE still makes a part that is an exact replacement. I don't know the part number off hand, but may be able to find it if no one else here can. I'm pretty sure your ISE doesn't have a check valve, as its pump/motor is of an earlier design.
Any further information about which parts have to be replaced to fix a particular problem will need to come from those who have more experience working on these machines than I do.
I've had a KDI-21 and an ISE Classic Supreme/22 series KitchenAid clone. The ISE was the better looking and higher end machine, worked well and never had any problems. The 21 series Imperial, which was purchased new in 1990, had its check valve get stuck open after about 15 or so years of regular use, but that was the only issue I experienced with it.
P.S.
I'm guessing the Selectra weighs more because that cabinetry front is heavy. The door springs have likely been adjusted to accommodate the extra weight. Be sure to check the springs on the ISE for which holes they're hooked into and match that same arrangement on the Selectra after you put the stainless inserts on it, or the door will not lie flat.