You are getting into some fairly controversial areas of the magnet industry here. I have some strong opinions here, but I will try to keep them out of this.
Hadjipanayis is probably the brightest mind in the United States on rare earth magnets, and definitely the most accomplished. The opinions range from "He is just trying to promote his research like any other professor" to "why isn't anyone else trying to solve this?" The questions about the rare earth supply are dominating a lot of conversations about magnets these days, and they are primarily being raised by Hadjipanayis and some of his corporate partners.
So here are the facts:
-Right now, all significant quantities of rare earths are mined in China.
-There are multiple efforts to open mines in the rest of the world. Major sites are South Africa, the United States, Canada, and Australia.
-None of these mines will produce anything within two years, and none are likely to do much within five.
-China has a lot of incentives to keep selling rare earths.
-China also has a lot of incentive to start boiling the frog.
At the moment, I regard the tone of these articles as somewhat alarmist. That said - the facts are there. Rare earths aren't actually all that rare, it was just that no one could extract them as cheaply as China, so all the other producers went out of business. I personally don't see China as likely to disturb the status quo, but that doesn't mean we should accept it, either.