Preheat oven to 350 degrees Fahrenheit. Line two baking sheets or one large baking sheet with aluminum foil or parchment paper.
Place the pita bread on the baking sheets. Spread each pizza with barbecue sauce. Sprinkle a thin layer of mozzarella cheese onto the pitas, then arrange the jalapenos and pineapple on top. Sprinkle with the remaining cheese.
Bake for 20 minutes until the cheese is bubbling and golden brown around the edges. Remove the pizzas from oven, let cool for a couple minutes, then slice into pieces.
These pizzas are best enjoyed right away, but you can store leftovers in airtight containers in the fridge for up to 4 days. Reheat on a baking sheet under the broiler for 2 to 3 minutes or until warmed through.