Non-Opposition as "Masochism"?

Sometimes, I wonder, does an attitude of non-opposition entail masochism? Does it mean being a "doormat"? I think it's tricky, because in a sense, masochism means defiling one's personality in favor of serving others. It is equally a form of self-attachment as, say, ego-aggrandizement, because the belief is that there are selves more privileged or deserving than "this self" that exits in "this body". What results, quite often, is a covert power struggle which is really founded on a resentment. Sometimes, one appears to be a willing martyr for a cause, but secretly might be reveling in the idea of martyrdom itself.
   I think true non-opposition takes its cue from a realization that there is simply nothing to oppose to begin with. Here is an analogy I once learned from a Dharma teacher: when playing chess by yourself, you take the white pieces in hopes to defeat the black pieces; then switch to the black pieces, hoping that the black pieces will defeat the white; and so on. Depending on how I choose to position myself in the game, I might root for either one. But in reality, I am playing all sides. The only difference is in the way I perceive things, which privileges one side over the other or confuses one thing as being mine.
  If I am on the losing side of this battle, I might reason by making a virtue out of losing (seeing it as a heroic surrender to an existing disadvantage that wasn't of my choosing), or even making a vice out of winning! (Pride, ego, arrogance, etc.) But one misses the fact that these "sides" are all created by mind. They change according to the circumstances, and no one can ever truly say they are one or the other.
   I think what makes masochism appealing is that it inverts a perceived power imbalance by playing on an ability to take on seemingly infinite, boundless burdens. This itself becomes a form of power. But non-opposition, on the other hand, does not separate masochist from non-masochist, nor privilege one view over the other.