I am a MOPAR guy at heart. Never bought a "Chrysler" persay but rather Dodge and Plymouth. Same things with different trim is what it amounts to. I won't go into the older/muscle cars as you are asking about newer vehicles. I have owned new Chrysler products though for the last 2 decades is what it amounts to..
I have owned 7 "Chrysler company" vehicles since 1988. All of them have been Dodge trucks...
88 Dodge Ram 50 Sport RCLB 4WD 2.6L 4cyl( basically a Mitsubishi )
94 Dodge Ram 1500 SLT Laramie RCLB 2WD 5.2L
97 Dodge Ram 1500 SLT RCSB 4WD 5.9L
01 Dodge Ram 1500 SPORT RCSB 4WD 5.9L
03 Dodge Ram 1500 SLT QCSB 4WD 4.7L
04 Dodge Ram 1500 SLT QCSB 4WD 5.7L HEMI
08 Dodge Ram 1500 SLT BigHorn QCSB 4WD 5.7L HEMI
Other than the 88 Ram 50, which was basically a Mitsubishi with Dodge emblems, the Rams have all been GREAT trucks. Very few if any problems but if I did have an issue it was taken care of with NO hassle! The 88 aside, as it had a lot of issues, the other Rams had no serious/major issues.
94 - Nothing
97 - AC line and Starter both went bad around 52K. Also had a bad Driveshaft( replaced under warranty )
01 - Front brakes replaced under warranty
03 - Nothing( * )
04 - Nothing( * )
08 - Nothing
* - one of these trucks had the Cat Conv replaced as part of a recall but I can't remember which it was?
Other than routine maintenance such as OC's, tires, etc... I never had to do anything to the Rams other than the 97 ( AC and Starter ). I don't consider a bad starter and AC line to be a sign of poor quality. Pretty common problems/failures for ALL mfg's. I have had nothing but excellent results with "Chrysler" to this point.
Also, my Sister and Brother-in-Law also have had a lot of Dodges over the last 15 or so years. My Sister had a Plymouth Acclaim that was a decent vehicle and then she had 2 Dodge Intrepids. No problems with any of them except the last Intrepid which had major tire issues but that was on Goodyear not Dodge. Her hubby has had like 5 Dakotas and they have served him well with few repairs. A water pump, shocks, and some normal wear and tear stuff like brakes and tires. Not bad considering he puts well over 100K on a truck in about 3 years.
Chrysler/Dodge have some really nice vehicles out right now. The Journey is a really nice SUV although it does have a few 1st year model issues. The Avenger, Charger, Sebring, 300, and Challenger are all good cars. The new 09 Ram is awesome!
I would not hesitate to buy a Chrysler/Dodge product. The only concern I would have is the economic health of the company. All car mfg's are in trouble right now though including the foreign ones. The product line from "Chrysler" is just fine quality wise although I admit styling on some of them does not do a lot for me. They could sue some fresh design ideas.
Go test drive some and see if they have one you like and that fits you. THAT is what matters. Their cars and trucks are as good as the other mfg's including Toyota and Honda. If anyone tells you otherwise they haven't driven one recently and are stuck in 1982.
BTW - the hands down worst vehicle I have ever owned was from, and hands down the worst new car mfg I have ever dealt with was, Toyota. 2005 Tacoma I bought to replace the 04 Ram( due to gas prices ). In the 7 months I owned it that thing had more problems than every other vehicle I have ever owned, new and used, combined. The mfg and dearler base were miserable to deal with and completely useless. Now, you hear all the time how great they are. Well, in my experience it was the exact opposite just as my experience has been great with the Big 3 despite the popular belief they make inferior products.
Judge for yourself.