Preheat oven to 450°F. Stretch pizza dough onto a greased sheet pan or pizza stone into a thin oval.
Whisk eggs and milk together with salt and pepper. Scramble in a nonstick pan over medium-low heat until just barely set — they'll finish in the oven.
Brush dough with olive oil. Spread the soft scrambled eggs over the dough.
Scatter sausage, bell peppers, mozzarella, and Parmesan over the eggs. Season with red pepper flakes.
Bake for 12 to 15 minutes until crust is golden and cheese is bubbling. Garnish with fresh basil and slice.