mix all the marinade ingredients and place the chicken breast tenderloins in a large resealable plastic bag. Pour the marinade into the bag with the chicken, seal, and shake the bag to coat. Refrigerate for 1 hour.
For the salsa: Combine all the ingredients in a bowl. Cover with plastic wrap and refrigerate.
To prepare the grilled vegetables, toss the onions and red peppers with 1 tablespoon olive oil, 1/4 teaspoon salt, and 1 clove garlic in a bowl; set aside.
For the lime mayonnaise: Whisk together the mayonnaise and 2 tablespoons of lime juice; cover with plastic wrap and refrigerate.
Preheat the grill for medium-high heat.
Grill the marinated chicken on the prepared grill until no longer pink in the center and juices run clear, 8 to 10 minutes. Grill the red pepper and onions until tender and golden brown, 8 to 10 minutes. Remove the chicken and vegetables from the grill. Slice the grilled pepper into thin strips
Spread each slice of bread with 1 1/2 teaspoons of prepared lime mayonnaise. Layer half of the pieces of bread with sliced mango, 1 tablespoon prepared salsa, grilled chicken tenderloins, grilled peppers, grilled onions, and a slice of Monterey Jack cheese. Top off the sandwiches with the remaining slices of bread. Return the sandwiches to the grill, turning when the bottom is golden brown
Return the sandwiches to the grill and grill them until the bread is toasted and the cheese melts, about 2 minutes per side.