Solar power is one thing. Electric cars are another thing.
Power transmission and the whole grid is based on AC. All device you buy are based on AC. The reason is, transmission of three-phase/AC is much more efficient than DC. DC has also other side effects like they are not potential free (hard to explain for me in English as I am German.)
But to make it easy, beside the electrical stuff, the whole world is based on AC. So redesign stuff like TV, dishwasher, computer, … just for the few poeple who run their own system is economically not possible. (The hen and egg problem.)
The other thing is, everything that runs with a drive these days, like your electric car with a permanent-synchron drive, needs to convert DC to AC to run the drive. The AC frequency defines how fast the drive runs.
So even, if the first thing change, the second (running a electric drive) will not change.
Besides from those points, I find this contest interesting. Because, I thing in the industrial world, where I am working in, this kind of problem is addressed every day in electrical engineering.
EDIT: for the grid, it is not only solar, also wind energy is important. Wind parks are the next big source of renewable energy, in Germany (of course), but also in Spain, China, and the US. GE Wind Power is very strong in the US, AFAIK. With wind power AC is generated with the frequency depending on the wind. So this AC is converted to DC, which then is converted to AC synchronized to the grid. Actually, the market leader for those inverters is based in Nuremberg, Germany, where I am from. AFAIK, they have more than 60% of the market. Because moving such high power requires 3 or more inverters in parallel. But running such things in parallel is a pain in the ass. Because they have to run with less then 1ms accuracy in parallel. Otherwise the whole system will burn.