Suggested names:
Can we think of something more mystical sounding instead of masking us sound like a political protest group? hehehe
Something Cool like
The Sabbat, or the Camarilla, or The Talamasca (fictional examples) all have this MYTHIC sound to it. as compared to United Hermetcists of the 21st century!
One Name that was toyed around with was "the invisible college"
think along those lines..