the use of gas turbine engines may have some advantages over conventional reciprocating engines, like lesser vibration due to lesser moving parts and its ability to be flexible on the types of fuel it can take in and its power to weight ratio.

but i think that aside from the fact that chrysler was in financial constraints during those days, they might have also looked deeper into the feasibility of a turbine engined production car and soon they abandoned it.

there are many drawbacks of using turbine engines on road cars. one of which is that turbine engines takes time to accelerate and decelerate which is ok for an airplane which usually operates on the same engine speed for long periods of time but it is the exact opposite of the operating conditions required on a road car where engine rpm changes a lot from time to time... another thing is that turbine engines operate at a very high rpm and will require huge amounts of gear reduction to match it to road going speeds and the tremendous amounts of torque it will generate will require such robust gearbox designs which will be very costly to make it reliable in the long run. also, the engine cycle efficiency of a gas turbine engine drops significantly if operated at a lower engine speed.
these are some of the reasons why you only see them on aircrafts,locomotives and ships most of the time.

i think one of the last attempts of using a gas turbine engine on a road car was the Range Rover fitted with a gas turbine engine in a series hybrid configuration (i.e. the turbine drives an electric generator which in turn drives an electric motor to get rid of the gearbox altogether. similar to those used on high speed locomotives) but land rover abandoned the project probably due to its feasibility.

im sure there are many jet engined one-off cars out there but i think putting it into huge volume production(say toyota or vw like volume figures) is not gonna be anytime soon. maybe they will begin to appear on some hybrid cars in the future.