Heat 1 tablespoon of vegetable oil in a large non-stick skillet over medium heat. Add the tortilla strips and cook until they are crispy and golden brown, stirring occasionally to ensure even cooking. This should take about 3-4 minutes. Once cooked, transfer the tortilla strips to a plate and set aside.
In the same skillet, add another tablespoon of vegetable oil. Add the chopped onion and jalapeño pepper, and cook until the onion is softened and translucent, about 3-5 minutes.
While the onion and jalapeño are cooking, whisk the eggs in a bowl with a pinch of salt and black pepper.
Add the chopped tomatoes to the skillet with the onion and jalapeño, and cook for an additional 2-3 minutes, or until the tomatoes are slightly softened.
Reduce the heat to low and pour the whisked eggs into the skillet. Gently stir the eggs, onion, jalapeño, and tomatoes together, allowing the eggs to cook slowly and evenly.
When the eggs are almost fully cooked but still slightly soft, add the cooked tortilla strips and half of the shredded cheese to the skillet. Gently fold the ingredients together, allowing the cheese to melt.
Remove the skillet from the heat, and sprinkle the remaining cheese on top of the Migas. Cover the skillet with a lid or foil for a minute or two to allow the cheese to melt completely.
Serve the Migas hot, with your choice of optional toppings such as diced avocado, chopped cilantro, sour cream, and salsa.