“being MO means being Orthodox but not wearing a uniform associated with those farther right (black and white, velvet kippas, etc.), not having a bias in favor of more machmir interpretations of everything, and holding by rabbis who dress and think like them.”
Your last point essentially proves that MO is by definition TUM. The rabbis are without exception YU educated and ordained. So their congregants who “think like them” are de facto Maddaites (note that I am not being intentionally offensive here, or I would have called them Scientorahlogists again).