Prepare pizza crust according to package directions.
Toss chicken with 1/2 cup (125 mL) barbecue sauce; set aside.
Divide dough into 2 portions. On lightly floured work surface, roll out each portion into 12- x 17-inch (30 x 42 cm) rectangle. Transfer rectangles onto 2 parchment paper–lined sheet trays.
Leaving 1/2-inch (1 cm) border all around, spread pizza sauce over each crust in circular motion. Sprinkle with 1 cup mozzarella. Scatter with barbecue chicken. Top with remaining mozzarella, green pepper and onion slices.
Bake according to package directions. Drizzle pizzas with remaining barbecue sauce. Let cool for 5 minutes before serving.
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