That's a hell of a challenge.
The 1.8 engine will of course not work with the 1.2 engine ECU.
The car will not easily connect to the car body ECU, as it was not programmed to. It is possible (a guess), that the body ECU would tolerate being connected to a 1.1, 1.2, 1.4 or 1.3d engine ECU, if it was told to via a 'proxy alignment' using
MES or dealer program.
The key immobiliser has to be accepted by both the body and engine ECUs.
I doubt Fiat would be interested in helping, as it is out of any normal spec.
If the original ECUs for the car, and the engine one from the Barchetta are all from the same manufacturer, an email to that manufacturer might get some help. They might say no, or you might find someone who would like a challenge.
Good luck with that.
A thought. If you found an engine from any other 5-door Fiat, it might be possible to transfer both ECUs, and the Panda would spend the rest of its life thinking it was the other car. Some wiring issues may occur. The Barchetta body computer would of course not know about the Panda rear doors, so no central locking or interior lights, etc. Similarly any airbags not replicated in the Barchetta might become inoperative.