So you confirm you
really found the problem:
When you remove the old CPS ,suggest you do a simple comparison test between the old and new.
Simple Multimeter test to observe if it is within spec -should be
800-1000 ohms at 20 deg C.
An deteriorating CPS will be in the low 800's or below. If you heat it to 150 degrees F or more it may be fail completely ,then recover when cool.
If you post your results it will help others chasing this common problem and may enable us to help you further.
If you want more tech:
http://rennlist.com/forums/996-forum/821112-crankshaft-position-sensor-diagnosis.html