Someone, probably the oil companies, is going to have to manufacture hydrogen in large quantities, pipe it, then truck it to local stations. The station will have to have a large paved area to accommodate cars, and pumps and meters and fueling hoses to add hydrogen to the cars. Gee, that sounds a lot like a modern filling station, doesn't it!
I suspect (but don't know) that there is no economy of scale in operating huge hydrogen "distilleries", so there will probably be a plant near every major city and most large towns, and quite possibly located near each nuclear power plant. The hydrogen plant is a good neighbor for a nuke plant, as the nuke plant really needs to run at 100% output 24/7/12. The hydrogen plant can utilize the excess electrical power whenever it is available.
I therefore predict that the oil companies will become energy companies serving the same customers they are now serving, but with a slightly different product.
By the way, the "no pedals" won't make it to the final product, as we will always need a way to brake when the last bit of electricity has been produced and the hydrogen tank is empty. But still a neat concept car.