It's not a binary decision between all cars and no cars. If trains and public transit have enough capacity and convenience to make most trips feasible by them, car infrastructure will no longer have to be added (in fact can be converted into bus and bike lanes) while shortening trip duration (less cars = less jams) and improving safety.
Also, you barely have luggage for most trips. 99% of my trips are made with luggage I can carry to the nearest stop and board the bus with.