That is what government regulations are for. No one freaks about about Amtrak suddenly deciding who can and can't ride their trains.
Which pretty much means that in this future, you will have no choice but to use a self-driving car. Which gives disproportionate power to automobile/SDC companies.
If the only motorized way to move from point A to B was Amtrak, I would be worried about the power Amtrak has over my physical movement too.