Place pork in a 3-quart rectangular baking dish. In a small bowl whisk together the soy sauce, lime juice, sugar, oil, vinegar, ginger, and crushed red pepper. Spoon 2 tablespoons of the mixture over pork and turn several times to coat. Cover pork and let stand 20 minutes at room temperature, turning occasionally.
Place the remaining soy sauce mixture in a small saucepan. Bring to boiling. Boil gently for 1 to 2 minutes or until reduced to 1/4 cup; set aside.
For a charcoal or gas grill, grill chops on the rack of a covered grill directly over medium heat for about 3 minutes per side or until pork is slightly pink in the center (145 degrees F), turning once.
Place greens on a serving platter, top with pork, and drizzle with boiled soy sauce mixture. Sprinkle with cilantro.