Crack the eggs into a medium bowl. Season with salt and pepper and whisk well. Set aside.
8 eggs, salt, pepper
Melt the butter in a large, deep skillet over medium heat. Add the tortilla strips and cook, stirring frequently, until just starting to brown.
2 tablespoons butter, 12 corn tortillas
Add the poblano peppers and continue to cook, stirring often to prevent burning, until the tortilla strips are browned and crisp.
1 poblano pepper
Spread the tortilla strips out into the bottom of the skillet. Pour the eggs evenly over the top. Sprinkle on the cilantro and cheese.
1/4 cup fresh cilantro, 4 ounces Monterey Jack cheese
Cook, carefully stirring and turning, until the eggs are just set.
Spread the migas out into the bottom of the pan and top with dollops of the salsa verde.
1/4 cup salsa verde
Garnish with crumbled cojita or queso cheese, cilantro, avocado, tomato, corn and/or black beans, if desired.