The fact that cars are part of the US culture and identity does not make them any more frivolous and indicative of privilege in any metropolitan area where the public infrastructure is good enough to make the ownership and use of a car a luxury not a requirement.
If you own a car in Raleigh, NC or Austin, TX for example, it's part and parcel of living in urban sprawl. The trade off is lower housing costs for greater transportation costs. If you live in NYC and San Francisco, a car is optional unless you make a living in a job that requires frequent daily travel. For everyone else living in a dense urban area it's a luxury that comes at the cost of everyone else since cars compete directly with buses for the use of the commons (roads).
I used to live in São Paulo, Brazil, and besides maybe Beijing, PRC (where I also once lived), there is nothing more damaging to the public good than all the people with the money to own and operate private vehicles in a sufficiently populated area that can't really afford having everyone own a car. São Paulo has about 5 million cars in a city of about 20 million. The cars directly compete with buses on the roads and every car hurts the average bus user. Every person who gets sick of buses and buys a cars is screwing over all the people they once shared the bus with making it a little bit worse so that the threshold for getting a car is crossed for a few more people, perpetuating a vicious cycle. There are days when it rains in São Paulo, where the traffic is so bad that it takes 3-4 hours to cross the city in a car. In a bus? I can't even imagine that hellish experience.
On the 7th of September for example, 3 million cars will leave the city over the course of like 48 hours, clogging up every major road for hours. I used to go to a place called Maresias on the coast, which is 2.5 hours by car and 4 hours by bus normally without traffic. With traffic it can get as bad as 4-10 hours by car and 6-12 hours by bus.
There simply is no mode of transportation more selfish than the car and it is only second in level of privilege to transportation by helicopter.