I was mulling over this issue in the EV thread in the Garage sub-forum, and one solution that I thought of might actually work... but it has some serious downsides. Essentially, to be able to charge cars rapidly, we add another point of storage right at the end-point. My thought is that it would sort of be like the electric equivalent of a water heater... or a gigantic version of one of those mobile device chargers. The idea is that it's always connected to the grid, and that could allow it to draw power in at a slower rate to keep itself full, and you draw power from it much faster when you need it.
The biggest downside that I can think of is... cost. It would essentially require what is almost an equivalent amount of energy storage as what exists in your EV, and those batteries are stupidly expensive. People probably already balk at the idea of paying $2k for a faster charger, which gets subsidized anyway, and I can't imagine telling them that they would need to pay around $10k for a super-fast-yet-power-line-conscious charger.
EDIT:
...or... we beef the hell out of our power line system!