Disconnecting the map sensor will not cause the car to quit. It will throw a code, but the ECM will revert to default parameters in the stored tables to allow the car to continue to run. Performance will likely be off, but that's about it.
I would check for faulty cooland temperature sensors, check if teflon sealant was used on any of the coolant temp sensor threads (they need a clean ground, no teflon tape or liquid), do the shake test for the wiring harness and see if that causes a stumble, check the IAC.... it may need removal and cleaning too. My bet is a cleaning of the IAC.. It could also be ECM related too.
[This message has been edited by Joe 1320 (edited 06-27-2008).]