Will this work?

Chrsyler radios do NOT have anti-theft security coding.  Hopefully you have the original plugs for the chrysler radio?  If not you'll need a reverse harness.

Assuming you do still have the oem wiring plugs and a few inches of wiring, all you have to do is compare your plugs to the plugs in that picture.  Also I'm going to assume that the chrysler radio uses the older style of chrsyler harness, and not the newer single plug type.  If it DOES use the single plug then some of the specifics of this will be different but the general principles still apply.

The coloring in the picture conforms to the EIA standard coloring, which can be seen here.  So use that as a guide when you're trying to determine which of the chrysler wires does what.  Once you figure that out, you'll need to make the following connections, and tape up any unused wires in the chrysler harness.

+12 volts constant (EIA standard yellow)

+12 volts switched (EIA standard red)

Right rear positive speaker (EIA standard solid purple)

right rear negative speaker  (EIA standard solid purple w/black stripe)

left rear positive speaker  (EIA standard solid green)

left rear negative speaker  (EIA standard solid green w/black stripe)

Finally, the chrsyler radio does not have a grounding wire as part of its harness.  All of them get their ground via a direct connection to the stereo's chassis, but different vehicles accomplish this in different ways.  In some of them, there will be a thread in the back of the unit where the chrysler vehicle's braided grounding strap would be secured using a terminal ring and a bolt.  Try to find a bolt that will fit the hole or come as close as possible, and then solder and/or crimp a ring terminal onto the end of the ground wire that you get from your chevy wiring.  And secure the ring terminal to the back of the chrysler radio with the bolt.  The radio in this picture has this style, but the bolt is already in the hole, in the center of the unit in between the three tiny screws and vertically lined up between the two wiring plugs.

The other style is a male disconnect terminal built in to the back of the stereo, and it sometimes juts out of the unit at a slight angle.  For that  style, your ground wire coming from your chevy will need to have a female disconnect soldered and/or crimped onto the end so that it can slide onto the back of the chrysler head unit.