my sense of Aikido's "noncompetitiveness" or "nonviolence" is that we strive to resolve conflict without harming the "opponent." That always seemed to me to be both arrogant in the sense that you presume that you're that much better than your opponent; and a worthwhile goal to strive towards.
but ... it seems to me that you must
necessarily be at a point where you can
strike effectively to harm (and the opponent realizes it) and choose
not to ...
hence my signature