Someone broke into my car and broke the wiring from this little box that goes around the ignition?

Hi mthutch,

That is the Immibilozer Receiver Unit. Any fault with this unit woulnd not allow the engine to be started.

If the wires can be reconnected, there is a possibility you can reuse it, failing which you would need to replace the unit and that would mean reprogramming the PCM to accept the new receiver and key.

Terminal 1 = Yellow/Black
Terminal 2 = Red wire
Terminal 3 = Blue
Terminal 4 = Brown/Black