My father sold Desoto's from 1950 to 1/2 way thru the 57 model year. Then he switched to Dodge. I remember very well the excitement generated by the change over from the stogy 56 models to the 57's "Forward Look".
Even though Ford's were drastically different from their previous years styling, Chryslers seemed much more futuristic. Yet, if you ask most people what the most significant car for 1957 was, more often than not you'll here Chevy. (Which was essentially a 56 with fins).
As V-12 pointed out, Chrysler was plagued with quality control problems during the late 50's, but was at it's peek in 57. Rust showed up sooner than expected, torsion bars broke with great regularity, and if it even looked like it was going to rain, some cars wouldn't start. To this day, I can name 6 different people that I knew, who would never buy another Chrysler product after owning a brand new 57 Plymouth.