That sounds like a far more holistic and integrated solution except the ability to transfer useful amounts of power across continents. By the time political integration has reached a point where this is feasible, the technology may have matured.
You're saying that supplying the entire world from one patch of its surface would incur zero thermal losses through current technology?
Also it's not that they're rare its that China tends to undercut the price of elements like neodymium whenever someone starts digging for it, keeping the price...
Transmission losses would make solar energy used like that very inefficient, but it does demonstrate the scalability of solar.
Unfortunately, China's manipulation of rare earth markets makes it hard to manufacture anything on that scope.