In large resealable food-storage plastic bag, mix marinade ingredients. Place pork tenderloins in bag; seal bag and turn to coat. Refrigerate at least 8 hours or overnight to marinate, turning bag over once or twice.
Heat gas or charcoal grill for indirect cooking as directed by manufacturer. Remove pork from marinade; discard marinade. Before cooking with indirect heat, place pork on grill directly over medium heat. Cover grill; cook 5 minutes. Turn pork; cook 5 minutes on other side.
To cook with indirect heat, move partially cooked pork to unheated side of two-burner gas grill or over drip pan on charcoal grill. (If using one-burner gas grill, cook over low heat.) Cover grill; cook 25 to 30 minutes longer or until pork has slight blush of pink in center and meat thermometer inserted in center reads 160°F.
Meanwhile, in medium bowl, mix all salsa ingredients except oil. Stir in oil.
Place pork on cutting board; let stand 5 minutes. Cut diagonally into slices; serve with salsa.