Preheat oven to 425. Boil pasta according to package directions. In the last two minutes of cooking, add in broccoli. Drain well.
Brown bacon and drain on paper towels, reserving 2 tsp of bacon grease.
In a large pan, whisk together bacon grease, milk, cornstarch, and spices. Bring to a boil, then turn to lowest setting and simmer until slightly thickened, a minute or two.
Slowly whisk in Velveeta and mozzarella until melted (this will thicken the sauce a lot). Add a couple dashes of your favorite hot sauce if you like.
Fold in half of the cooked bacon along with the pasta and broccoli. Pour into a large baking dish and top with 1/2 cup cheese blend and remaining bacon.
Bake at 425 for 15 minutes, then broil for a minute or two if cheese isn't browned to your liking.