Cars actually line up very well with many aspects of right-wing ideology.
Cars work great for the individual, but they severely harm the collective. They demand society be built around them entirely, they’re very damaging to everyone not in a car, but at the same time society cannot handle everyone being in a car because of air quality, noise pollution, environmental damage and sheer lack of space. If the road is full of cyclists, the one person inside a car is safer than the cyclists are, but every cyclist is less safe because of the single person driving a car.
The capitalist doesn’t see anything wrong with this, because if the poors don’t have a car and get fucked by society, who cares? They’re fine with solutions that benefit the few at the cost of the many, it’s their whole thing. They don’t want a solution that works for everyone, they want one that works for them, and if that solution elevates them above the poor? Even better!