[Archaea]

FAIR might be licensed to use it. I would imagine the Church licenses certain groups to use terms and licenses associated with the Church. OTH, Mormon is probably not protected intellectual property so the anti's won't be infringing upon protected rights by the use of "Mormon."

However, the Tanners were sued when they published the Handbook of General Instructions on the web. The Church won as the Tanners did not have a copyright on it and could not use or display it publcly.