Insert grater in food processor. Grate Swiss or cheddar cheese, using medium pressure. Transfer to a bowl.

Remove two tablespoons grated cheese, combine with Parmesan cheese and reserve as a topping.

Insert steel blade in food processor. Drop garlic through feed tube while machine is running; process until minced.

Add onion and carrot or red pepper; process with several quick on/off pulses, until coarsely chopped.

Heat oil in a non-stick skillet. Sauté garlic, onion and carrot on medium heat until softened, about five minutes.

Meanwhile, rinse broccoli thoroughly in cold water; drain well. Microwave, covered, on High for four minutes (or steam broccoli for five to six minutes.) Cool slightly.

Process broccoli and parsley with several on/off pulses, until coarsely chopped.

Add sautéed vegetables and grated cheese (excluding reserved cheese topping), along with all remaining ingredients. Process eight to 10 seconds longer, until combined.

Spread mixture evenly in sprayed seven- x 11-inch glass baking dish. Sprinkle with reserved cheese topping.

Bake in preheated 325-degree-Fahrenheit oven for 30 to 35 minutes, until golden. Cool slightly before cutting into squares.