This can be seen being played out daily in the world: A lack of recognition of the sanctity of Self and Life in general. It is, after all, awe that begets respect. And of this there is a massive deficit on our planet these days.
As a martial artist, we must respect skill in ourselves and others, and likewise not take violence lightly.
Journeyman talks about specific goals of training that fit well with this point.
"There is a tendency for most martial artists to feel a need to best their opponent, to beat them, to win," he says. (See entire post here). This point can include the best way to survive a violent encounter, as well as the best way to respect one's own self and possibly the assailant.
Peace, itself, should not be taken lightly. As suggested, it is a result of respect and a sense of awe. It is a divided mind that creates chaotic situations, and being human, as the Taoist would say, we often have to wait for the mud in the water to settle to the bottom in order to achieve clarity.