Prepare Dough: Follow your pizza dough recipe up to step 3, or thaw store-bought dough. Preheat oven to 475°F (246°C). If using a pizza stone, preheat it as well. Grease a baking sheet or pizza pan with 1/2 tablespoon olive oil and sprinkle with cornmeal.
Shape Dough: Punch down dough to release air. Divide in half, saving one half for later. Flatten dough into a 12-inch circle on a floured surface, leaving a lip around the edges. Let it rest if it shrinks.
Top the Pizza: Poke dents in the dough to prevent bubbling. Brush with remaining olive oil. Spread 1/3 cup BBQ sauce on top. Toss chicken in remaining sauce, then layer chicken, cheeses, and red onion.
Bake: Bake for 14-15 minutes until the crust is golden. Top with fresh cilantro if desired.