I think that installing a jet engine in place of a piston engine might be an idea that can be implemented, like the one in the American M1 Abrams tank.
Features
Higher power and better acceleration than conventional cars, in addition to a longer lifespan than conventional engines and smaller size and weight.
Some design issues
Engine maintenance complexities
Loud noise and fuel efficiency
Some solutions
We can use a single phase motor for the turbine and compressor, which will make maintenance easier.
Since the cars do not need a very powerful engine like the M1 Abrams tank, the engine is smaller and thus consumes less fuel, in addition to the engine being lighter, which translates into high power to weight and thus higher efficiency.