Stir together first 5 ingredients until blended; brush evenly over pork.
Grill pork, covered with grill lid, over medium-high heat (350° to 400°) 10 minutes on each side or until a meat thermometer inserted in thickest portion of tenderloins registers 155°. Remove from grill; let stand 15 minutes before slicing.
Cook sugar snap peas in boiling salted water to cover 1 minute or until crisp-tender; drain. Plunge into ice water to stop the cooking process; drain and pat dry.
Arrange salad greens on a large serving platter; top evenly with sugar snap peas, mangoes, sliced pork, and peanuts. Serve with Spicy Peanut Dressing.