These ARIX topics seem to be going in circles, with most people still not understanding. These things have been mentioned umpteen times, but for the sake of (hopeful) clarification:
ARIX isnt linux hosted. It runs on the ARIX kernel, which is the AROS kernel with a shiv to allow for linux drivers to be used, plus some other bits and pieces to allow for some other enhanced functionality to be more easily included.
It's not linux, nor does it use linux apis, xwindows, etc. It's essentially AROS with a different kernel (although heavily based on AROS).
As for the amithlon comparison, it doesnt have anything to do with. 68k, but rather the way linux drivers are used.