1) I thought (but haven't recently researched) that rare earths shifted to centrifuge refinement years ago. That's what supposedly made them economical enough to start using in large volumes.
2) Thorium nuclear power is a Really Good Idea, so if rare earth refinement yields a bunch of thorium that's yet ANOTHER reason we should be finalizing production designs for thorium-fueled reactors. Thorium is plentiful in the Earth's crust, has low radiation, cannot be used for weapons, etc. The USA actually had thorium based reactors decades ago but they lost favor to uranium based reactors because the latter yield weapon-useful byproducts, while thorium does not. We need to dust off thorium technology, especially if the pursuit of rare earths is going to be making it even more available.
I believe India is actively pursuring thorium fueled reactors. If they get there first, they're going to have a serious advantage over the rest of the world with a power source that is plentiful, has minimal waste handling issues, zero carbon footprint, etc. Isn't that what everyone says they want these days?