Wouldn't fascists, to the definition, want a cohesive nationalistic society and identity? Fascists want a strong nation.
The Nazis promoted cars because nobody really had a car and they were coming out of a depression, they wanted to pump up their manufacturing industry for economic benefit and it was also a good excuse to build manufacturing capability for war. Cars were therefore very nationalistic, owning a car was good for Germany and German jobs.
Pushing for cars in most places does not benefit national industry, and pushes money and jobs offshore.
I feel like cars could only be potentially seen as a fascist tool if one were to ramp up national production of cars and tariff or ban imports of cars from other countries