Brush a large bowl with olive oil. Roll the pizza dough into a ball, place in the bowl and turn to coat with the oil. Cover with plastic wrap and set aside in a warm place for about 30 minutes.
Position racks in the upper third and middle of the oven. Place a pizza stone or inverted baking sheet on the top rack and preheat the oven to 425 degrees F, for at least 20 minutes.
Lay out a sheet of parchment paper and brush with olive oil. Transfer the ball of dough to the parchment and roll it out into a 10” round, stretching it as needed.
Place the “Chicken” into a bowl. Mix with 2 T of BBQ sauce and season with salt and pepper.
Spread the remaining 1/3 cup of BBQ sauce over the dough. Top with the “Chicken”, cheese and red onion.
Slide the pizza (on the parchment) onto a pizza peel or another baking sheet, and transfer to the hot stone or hot baking sheet. Bake until the cheese melts and the crust is golden, 20 to 25 minutes. Sprinkle with cilantro.