As the link mentions, it was essentially a Mercedes-Benz sports car with a body designed by Chrysler stylists and built by Karmann in Osnabrück.
Sales amounted to about 76,000, of which 61,000 were during its first two years in the market. The first year, the Crossfire was offered in coupé form, and a cabriolet (marketed as "Roadster") was added for 2005.
Its styling theme might in part be classified as a 21st century take on the feeling of 1930s German industrial design. Here I'm thinking of its fastback profile and the inverse ribbing on the hood. Certainly not as 1930s Germany as the original Audi TT, however. But the most striking feature was the tapering effects on the sides.
Osnabrück facility. The unusual side sculpting is more clear when viewed in person, but here is what is happening. The rear fender is wide, but its side panel extension tapers inward going forward across the door and approaching the air outlet abaft of the front wheel opening. The upper part of the front fender extends across the door, also tapering inwards to blend into the C-pillar zone. That is, the are two inwards tapers, but in opposite directions, hence "crossfire."