01 - Heat a griddle or large nonstick skillet to medium temperature.
02 - Arrange bacon strips on the hot griddle. Fry for 4-5 minutes per side until crispy and golden. Transfer to paper towels to drain excess grease.
03 - While bacon cooks, crack eggs into a mixing bowl. Add milk, salt, and pepper. Whisk vigorously until yolks and whites are fully incorporated and mixture is slightly frothy.
04 - Melt 2 tablespoons butter on the griddle. Pour in the egg mixture. Using a spatula, gently push eggs across the surface, folding curds over themselves. Cook until just set but still moist. Divide into 4 equal portions.
05 - Place English muffin halves cut-side down on the griddle. Toast for 2-3 minutes until golden brown and lightly crisped.
06 - Spread mayonnaise or softened butter on toasted muffin halves if using. Layer bottom halves with scrambled eggs, cheddar cheese slice, and 2 crispy bacon strips. Top with remaining muffin halves.
07 - Return assembled sandwiches to the griddle. Cover loosely with aluminum foil and heat for 1-2 minutes until cheese is thoroughly melted and sandwich is warmed through.