Stir together Dijon mustard, 1/4 cup honey and 1/4 cup mango jam in a small bowl to make a dipping sauce; set aside.
Whisk together the apple juice, teriyaki sauce, 1 tablespoon honey, 1/2 cup mango jam, garlic, cayenne pepper, salt and black pepper in a bowl until blended. Add sliced steak and toss to coat. Set aside to marinate 10 minutes.
Preheat a barbecue for medium-high heat and lightly oil grate.
Remove the steak from the marinade and discard the remaining marinade. Thread the steak strips onto the soaked skewers.
Cook on the preheated barbecue to preferred doneness; about 1 minute on each side for medium.