I had the exact same issue on my GenIII when it was stock. I drove aimlessly for hundreds of miles, but to no avail. Some respected members/vendors on this board were certain that I needed to replace all O2 sensors, even though telemetry showed they were fine. Others suggested that I needed replacement of the PCM.
The solution:
1) Be certain your battery is 100%. After extensive driving, my monitors were all ready. However, upon shutting down and restarting, all readiness would black out and start over. Turns out I had a bad cell in the battery. Apparently the voltage would dip low enough that it would clear the monitors.
2) To get a real fresh start on the PCM, have your local friendly dodge dealer and/or viper tech clear all DTC and learning parameters. If you have DTC, then those need to be addressed. Otherwise, proceed to driving through the cycles.
3) Don't aimless drive for a gazzillion miles. Drive the OBDII cycle. Some folks have suggested distance and driving styles. While most are somewhat true, the OBDII cycle is actually baselined with minor difference between manufacturers. The generic OBDII Drive Cycle image is included below. I used to have a copy of the Chrysler specific drive cycle, but can't find it.
After resetting the learning parameters and driving through the cycles, all my I/M readiness codes were completed in less than 20 miles (and stayed on). I will keep on looking and see if I can find you Chrysler version. I do recall reading that throttle must be less than 40% throttle and rpm between some RPM range during steady state driving. I dont' recall the range, but I know that I never went into 6th. I also recall that the Chrysler specific version asked that you idle for something like 5 minutes after then end of the cycle.
My $0.02
Good luck.
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