Reliability studies are a joke. Not that Chryslers are particularly well made cars, but if you look at the actual data behind these studies/scores instead of the ranking, you would find there isn't a significant difference between the most reliable brand and the least reliable brand. Not even twice more likely to have problems. It's also about perception. Of those in the top ten, which don't have a "reputation" for being reliable? Audi, and to a slightly smaller extent Buick and Subaru. To be honest, Infinit, Mercedes, and Audi are the only outliers on the list to me. Audi is a brand that has a perception of being unreliable when it's, according to the "statistics", a very reliable brand. Nissn's (which is a middling brand itself) Infinit is viewed as a Japanese brand therefore it must be reliable when it fact it's not. Mercedes is often cited as the German brand with the best reliability (when it's the worse according to the statistics).
I suspect if you put a Toyota emblem on a Dodge concept car and showed it to 1000 people, asking them if they thought the car looked reliable, most would say it did. Not because it actually is, but because it says Toyota on it.
Yes Chrysler makes cars with lots of problems but so does Toyota, Honda, GM and every other manufacturer. Chrysler is particularly bad for it, but their cars are significantly more unreliable then other brands.