Heat a 10-inch cast-iron skillet over medium heat. Spread 1 tablespoon softened butter on both sides of bread; add to skillet. Cook until toasted on each side. Remove from skillet; cut bread slice in half and set aside.

Melt 1 tablespoon butter in same skillet. Add tomatoes, mushrooms, and thyme. Cook 5 to 7 minutes or until tomatoes are lightly blistered and mushrooms are tender, stirring frequently. Transfer to a bowl; cover to keep warm.

Add bacon to same skillet. Cook over medium heat 5 minutes. Turn over bacon and add sausage links and patties and cook 8 to 10 minutes or until sausages reach 165° and bacon is crisp, turning often. Transfer to a plate lined with paper towels; cover to keep warm.

Wipe skillet clean with paper towels. Melt remaining 1 tablespoon butter in skillet. Break eggs into skillet. Reduce heat to low. Cook eggs 3 to 4 minutes or until whites are set and yolks begin to thicken.

Return tomato mixture to one side of skillet; place eggs on top. Add sausages, bacon, and beans to other sides of skillet; heat through over medium-low heat. Serve with toasted bread. Garnish with chopped parsley, if desired. Serve immediately.