The push button shifter at Chrysler didn’t fade out all that quickly. It survived well into the 1960’s. For a real package of novelties look to the 1961-63 Pontiac Tempest. The shift lever for the 2-sp automatic was mounted in dash. No mistaking Reverse for Park. You shifted into Neutral and then pushed the lever to the left directly into Park. And I mean “push”. No mistaking whether it went in Park or not. Pontiac was also deeply into interchangeable parts. The 4 cylinder engine was literally the right side half of the 389 V8, right down to the 45 degree slant from vertical. Pistons, connecting rods, exhaust manifold, the entire cylinder head assembly, were all shared between the two engines. And of course there was the drivetrain layout - front engine/rear transmission with independent rear suspension. The engine and transaxle were connected by a torque tube that contained a curved (that’s correct - curved, not straight) solid (no flex-joints here) driveshaft. On the automatic the torque converter was on the rear of the transaxle, and if I recall correctly, exposed for all to see. With mild oversteer and well balanced steering geometry it handled surprising well and didn’t need power steering. Remember this was a poor family’s compact, not a performance car. I would perform the most beautiful power slides, and get into parking spaces others had given up on. Just keep the speed below 90 mph. Approaching 90 aerodynamic lift caused the rear tires to tuck under (same single u-joint rear axles as the Corvair and VW of that era) and you were just a passenger along for the ride. God didn’t even know where rear of the car was going.
In 1961&62 it was available with Buick’s aluminum 215 V8 and a 4-sp transaxle. For 1963 it was available as the Tempest LeMans, with available (iron) 326 V8, and upgraded trim.