This is what my car looks like! It is a 67 Marlin.

The Marlin debuted in February 1965 as AMC's response to the Ford Mustang. Basically a Classic with an extreme fastback roof , the Marlin was too big and underpowered to compete as a pony car, and somewhat impractical as a family car; production reached 10,327 for 1965 but dropped to 4,547 the next year.

For 1967 AMC built the Marlin on the longer Ambassador chassis, aiming at the luxury market, but sales were even lower. Most collectors favor the 1965-66 models, but the 1967 has sleeker styling, sumptuous interiors, and superior performance and is certainly among the rarest American cars of the 1960s (only 2,545 produced).

Here is a link to AMX Page