Mix all marinade ingredients together, except chicken, and whisk until well combined. Add chicken and combine well. Add to ziplock bag or tightly sealed container and refrigerate overnight (at least 8-12 hours).
Make white sauce in a blender and refrigerate until ready to use.
Make pizza dough according to directions. Let rise.
Preheat oven to 450 degrees. According to directions, knead out and cook pizza dough for first time. While that is cooking, heat skillet on medium high. Add entire container of chicken mixture. Cook thoroughly, about 10 minutes. (Chicken should have an internal temperature at 165 degrees f). Add onions and peppers and cook another 2-3 minutes.
Add white sauce to dough in rings. Add 1 1/2 cups mozzarella. Add chicken mixture evenly across the top. Add remaining cheese. Insert back into the oven for 10-12 minutes or until golden brown. Remove from oven. Top with fresh pineapple. Slice and serve immediately.