Rinse and dry ribs. Place on a clean cutting board and pull off the membrane, the thin fatty skin that lines the underside of the ribs. Trim the ribs of excess fat and meat. Liberally season both sides of the ribs with 1/4 cup of the tropical dry rub. Wrap ribs in plastic wrap and refrigerate for at least 8 hours so flavors can permeate.
Preheat grill to 200 to 225 degrees F using charcoal and indirect heat.
Place ribs meatier side down on the grill away from the flame. Cook the ribs 2 to 2 1/2 hours total, turning the ribs halfway through, until ribs bend.
Tropical BBQ Sauce:
In a food processor, add the ginger, jalapeno and green onion. Pulse until they are finely chopped. In a medium saucepan, add the vegetable oil over medium heat. Add the ginger mixture and saute until tender. Combine the ketchup, mango juice, passion fruit juice, cider vinegar, molasses and dry mustard in a bowl and add to the saucepan. Season with salt and pepper. Let simmer for 10 minutes for the flavors to blend.