Mounting the engine will be the easy part. It's making it run and drive that takes all the time and planning. Here is what I see you have and what you will need..
-project squareback
-donor vehicle with a 2003 3.8. If all you have is a engine, you should find a complete car to use as a donor, this will save months of looking for all the parts needed.
-fuel supply system with a return line capable of 45 plus psi
-cooling system designed and manufactured by you that goes from the rear to the front of the vehicle that must have electronic cooling fans and will share the same space as the fuel system..this system will determine if the vehicle is usable or a novelty
-exhaust system custom made for this exact application, hacked pipes clamped together will cost ground clearance and cool points

not to mention it needs to stay far away from any cooling system parts that will probably be made out of the same material as heat transfer will easily cause problems.
-throttle control system..easy enough to make with cable type systems but pedal to throttle plate movement ratios will probably be different and will have to be delt with
-electronic engine management. If your car is a 03, the ECM will probably have to be modified to run without the VATS (vehicle anti-theft system) unless you will be moving the ignition system from the donor vehicle to include the BCM(body control module),instrument cluster, and the complete wiring harness. Fuse-relay boxes will need to be moved and modified to power all the newly added electronic control devices.
-vehicle wiring harness will have to be planned and made for this exact vehicle. It will need to be at least a piggyback system that will allow all the original vehicle components to operate while running all the new electronics
-brakes,fuel tank,transmisson,wheel bearings,tie rods,stub axles,cv axles, and rear brake drum splines will need to at least work as they should with the original engine
-the transmisson will break sooner or later..just a matter of fact
-the clutch will need to be in good shape, probably at least a 1700lb pressure plate...which will help the transmisson break

This can be done, I have completed many engine swaps, most involve different manufacture drivetrain transplants, including 1 aircooled to water cooled conversion. The time spent planning will payoff when you are driving the completed car!! It will be a fun car for sure and fast too just gonna take a little time to build.