Your statement makes the assumption that this will happen quickly, which it will not. It will likely take decades to incentivize people to move from cars to mass transit and other systems. As they do, taxes and budgets will be modified to reflect the current state of affairs.
For example, I suggested to use gas and vehicle taxes to subsidize public transport to push people toward using mass transit options. Obviously as that transition occurs, prices on mass transit tickets will increase to stabilize demand, and the revenue burden will shift for a subsidy by car owners to mass transit riders paying for their tickets.
Since the transition will take a long time, laws and budgets will change to reflect the new norm.
To stephengillie's point (since I can't reply), fees for mass transit should not be viewed as revenue generators but as means to restrict demand for a limited supply. In other words, the price on mass transit should be as low as possible (even free) to attract as much usage as possible, only using the price to restrict demand when too many people are trying to use the system. I truely believe that this type of pricing model would push a LOT of people toward mass transit.
As an example, here in Denver, CO we have a light rail. It costs (for me) $4.50 each way to downtown Denver. I can find parking in downtown for as cheap as $5 (if I want to walk a bit) to $10. It literally takes long as costs just as much to ride light rail as to just drive. Where's the incentive? If the light rail were $1-$2 per ride, then hell yes I'd use it.