Preheat the oven to 350°F. Unroll room-temperature pie crust into a 9-inch glass or ceramic pie plate. Crimp the edges of the crust around the top of the plate. Set the pie plate aside until ready to fill.
Whisk together eggs, salt, and black pepper in a 4-cup measuring cup. Then, whisk in whole milk.
Mix together freshly shredded mozzarella and extra sharp cheddar cheeses. Then, sprinkle the mixed cheeses, reserving about two tablespoons, along with half of the crumbled bacon and freshly grated Parmesan cheese into the prepared crust. Sprinkle the remaining bacon on top, reserving about a tablespoon.
Pour the prepared custard mixture into the filled crust. Sprinkle reserved bacon and cheese over the top. Bake at 350°F for 45-50 minutes.
Remove the quiche from the oven and allow it to cool for 5-10 minutes before cutting. Serve warm.