The problem with "free or extremely cheap transportation" is that it's neither free nor cheap. It's expensive and paid for by tax payers through constant budget deficits and debt issuance that will indebt future generations.
Unlike a car, which comes for free with your birth certificate, as well as a voucher for lifelong supply with gas. And don't forget about all the highways that get built for free!
I don't immediately see how one would be more or less expensive than the other.
Putting aside the absurd attack labeling my argument as pro-car (don't own one by the way), I'll I'm saying is that public transport ain't cheap nor free, and has a cost. You can cover your eyes, be against x or y, but that won't stop things from being different.