In a small bowl, combine tomato sauce, mozzarella cheese, basil, Parmesan cheese, garlic, olive oil, oregano, thyme, red pepper flakes, salt, black pepper, and crushed red pepper. Mix until combined.
Place pizza crust on the preheated grill and cook for 3-4 minutes, or until lightly charred.
Flip the pizza crust over and spread the tomato sauce mixture over the top.
Close the lid of the grill and cook for an additional 5-7 minutes, or until the cheese is melted and bubbly.
Carefully remove the pizza from the grill and let cool for a few minutes before slicing.