Not arguing, but the harness will need to be flipped, which is really just upside down. Do you see any issues with that?
One issue would be that the assumption made above is incorrect. From my own experiences trying this same maneuver in the HJ47, while it is true that the harness section -just within the confines of the dash- pretty much could be 'flipped', there is the rest of the harness to consider and it doesn't take so kindly to flipping. Some things are run down one side of the body/chassis for a reason. In the 60, the harness to the rear of the truck, which connects to the courtesy lighting, gas tank, rear taillights, license lights, etc, had a route along the left inner part -the sill- of the body. The harness may not go so easily in the opposite sill, and the wiring for the interior light will likely be on the wrong side. This would be okay if taking the headliner out is on the table.
There are the harness extensions that relate to the engine, like the wires for the glow plugs, current sensor, oil pressure switch, and so forth, have to be on one side, and with a 2H engine it is the right side. Ditto for the alternator wiring which will always be on the left side of the truck. Then there's the sedimenter circuit, normally routed down the right side floorpan and through a hole. That has to stay on the same side, unless you wish to reroute your fuel lines to the other side as well, right into the area where the hot exhaust pipe travels - not really a good idea.
I agree with another poster above: I suggest unwrapping the HJ harness and taking out the components particular to the diesel situation, and graft them into your 62 harness - which will also need to be unwrapped, and have most of the engine-related stuff chopped, unless wire colors and terminal blocks on the 62 harness are the same as on the HJ60 in some areas which, when it comes to the engine, I doubt.
My $0.02.