acts like jumped time refuses to start

The following were replaced, new:
Timing set (chain and gears)
Crankshaft position sensor
camshaft position sensor
Distributor cap and rotor
Plugs
Coil ( three different coils, the original, a used one and a new one were tried. All with the same results. A neighbor tested all three and all three tested good for both primary and secondary resistance, whatever that is.)

A used PCM from a salvage yard was also tried with the results being the same.

First you have to check for diagnostic fault codes. Chrysler makes doing that yourself easier than any other manufacturer. Cycle the ignition switch three times from "off" to "run" within five seconds without cranking the engine, then count the flashes of the Check Engine light. There will be a series of flashes for the first digit of the code, a pause, another series of flashes for the second digit, then a longer pause before the next code flashes. The last one you will get will be code 55. That just means "end of message". You should also get a code 12 indicating battery power was lost. That is because the Engine Computer was unplugged.

Did the crankshaft position sensor have a thick paper spacer or a thin plastic rib on the end to set the critical air gap? Have you checked for spark and fuel pressure? Which engine do you have? There is a number of different ignition systems. When discussing engine-related problems, you need to list the engine size.

I am assuming the parts you listed were replaced in an attempt to solve the problem. What was the original symptom or problem before any work was done?

Oops. I messed up. This occurred to me while answering another similar question. You do not have to count the flashes of the Check Engine light. Starting with 1996 models the fault code numbers will show up in the odometer display.