Yes they would. If you took the existing surface street network and made it 100% buses and/or ground-level trains you could accomodate current subway and road capacity with room to spare, even before you reclaimed all the space currently used for car parking. Private cars are an astonishingly inefficient use of space, and taxis are barely any better.
> The listed alternatives are all nice, but none of them allow you to move at 125+ mph.
We don't need to though. There's no conceivable need for a city to accommodate more people than could live within a 30-minute commute at current speeds if we were willing to build at the high densities that are actually possible.