Preheat the oven to 400°F (200°C).
Grease a 15x10x1-inch baking pan.
Unroll the pizza crust and press it onto the bottom and ½ inch up the sides of the prepared pan.
Prick the crust thoroughly with a fork and brush it with 1 tablespoon of olive oil.
Bake until lightly browned, for about 7-8 minutes.
Meanwhile, in a mixing bowl, whisk together the eggs and water.
In a nonstick skillet, heat the remaining olive oil over medium heat.
Add the eggs and cook, stirring, just until thickened and no liquid egg remains.
Spoon the cooked eggs over the baked crust.
Sprinkle with bacon bits and the shredded Monterey Jack and cheddar cheeses.
Bake until the cheese is melted, for about 5-7 minutes.
Serve hot and enjoy your breakfast bacon egg pizza!