* Engine Management System (EMS): The computer and wiring harnesses might be incompatible. The 2002 engine's computer may not work correctly with the 2001 car's wiring, sensors, and other components.
* Sensors and Wiring: Sensor locations and connector types may differ.
* Exhaust System: The exhaust manifolds and catalytic converters may not be directly compatible.
* Mounting Points: While unlikely to be drastically different, minor variations in mounting points could cause issues.
* Transmission Compatibility: Ensure the transmission in the 2001 vehicle is compatible with the 2002 engine.
In short: It's *possible*, but it's not a simple swap. It would likely require significant modifications, including potentially rewiring, adapting sensors, and potentially modifying the exhaust and/or engine mounts. You'd need to compare detailed engine specifications and wiring diagrams for both years to assess the feasibility and complexity of the project. A professional mechanic specializing in Lincoln LS vehicles would be the best person to consult to determine the practicality and cost of such a swap.