Preheat oven to 400°F. Place tortilla strips on a baking sheet and bake until lightly crisped, about 5 minutes.
Whisk eggs, egg whites and salsa in a medium bowl. Heat oil in a large nonstick skillet over medium heat. Add onion, jalapeno, chorizo and the toasted tortillas; cook, stirring frequently, until the onion is softened, 2 to 3 minutes. Add the egg mixture, reduce heat to medium-low and cook, stirring occasionally, until the eggs are set, about 2 minutes. Add tomato and cook, stirring, until heated through, about 1 minute. Remove from the heat and stir in cheese.
Ingredient Note: Chorizo, a spicy pork sausage seasoned with paprika and chili, is originally from Spain and is often used in Mexican cooking. Chorizo can be made with raw or smoked, ground or chopped pork. Chorizo is available at well-stocked supermarkets, specialty food stores or online at tienda.com.
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