Start by partly thawing out the chicken breasts and then rubbing them with your favorite rub. (I used a homemade BBQ rub). Place on a heated grill and cook thoroughly.
For the crust, you'll combine the water, sugar, and yeast together in a bowl.
Add the oil, salt, and flour to that. Gently mix just until it comes together. Don't over-mix!
On a floured cutting board or cookie sheet, roll out and shape your pizza crust.
Using a bit of olive oil on a paper towel, carefully grease your grill grates. Gently slide the pizza crust off onto the grill. Bake for 3 - 5 minutes on each side over medium heat.
Once your crust has turned golden brown, pull it off the grill and spread the cream cheese over it.
Chop up the grilled chicken breasts and then thinly slice the red onion and green pepper. Top the pizza with them.
Finely shred the mozzarella and add it to the pizza too!
Set your grill on the lowest setting it can go, and bake the pizza for 15 - 25 minutes or until veggies are soft, cheese is melted, and the pizza is nicely browned.
Let sit for 2 - 3 minutes off of the grill and then serve.
Enjoy!