Jason,
Welcome to the SHO Forum. I hope that we can help you get your car in the condition that you would prefer.
With the distributorless ignition system (DIS) and sequential port fuel injection that the SHO engine utilizes, there are electronic sensors to inform the electronic engine control (EEC) computer of the physical position of the crankshaft (crankshaft position sensor, a.k.a. CPS or CKP) and camshaft (camshaft position sensor, a.k.a. cylinder identification sensor, a.k.a. CID CMP sensor) to synchronize the spark and port fuel injection events.
You can use the key on, engine off (KOEO) test to have the EEC test the sensors and retrieve any failure codes from memory. This test only requires a short jumper wire and the ignition key. Learn this simple procedure with the link in my signature to gather a great amount of self diagnostic information from your car's computer. Any time the CHECK ENGNIE light illuminates on the dash during operation, there is a code stored in the EEC memory.
Regarding the problem you are experiencing, a failure of the CID sensor would not prevent the engine from starting, but does create the potential for "ugly" starts where the EEC "guesses" when the number one cylinder reaches top dead center (TDC). During these starting attempts, the engine may backfire or just stop turning against the pressure in the cylinder. This sensor inform's the EEC when the number one cylinder is at TDC to synchronize the injectors and ignition system. This sensor's failure will be indicated by a 214 code in the memory portion of the KOEO test.
It sounds more like your car may have a CPS, or crankshaft position sensor failure. When this sensor fails to provide a signal to the EEC, the computer has no information that the engine is actually rotating and will therefore make no spark or fuel injector pulses. When this sensor fails the engine will either cut out as if you turned off the ignition key or will fail to start. This sensor's failure will be indicated by a 211 code in the memory portion of the KOEO test.
There can be other failures in the engine control system that can create a no-start condition, but if you have confirmed fuel pump operation and pressure at the fuel rails and have confirmed that there is no spark, thisn is a good place to start.
You can visit autozone.com in the repair guide section to get the procedures for most services on the SHO. You can also find the CPS for about $58 in their catalog. The effort to install it makes that $58 look even smaller. Let us know if you check the codes and what the results of the test are. We will be ready to provide assistance.
Good luck and welcome.