Cut the skirt steak against the great into ½ inch cubes and place in a large bowl or Ziploc bag.
In a medium bowl, whisk together the soy sauce, orange juice, lime juice, 1 tablespoon olive oil, garlic, chili powder, paprika, cumin and oregano.
Add marinade to bowl or bag with steak. Marinate in fridge for 1 hour or up to 4 hours.
Preheat oven to 425°F. Heat remaining tablespoon olive oil in a large cast iron skillet over medium-high heat. Add the steak and marinade and cook until the steak has browned and the marinade has reduced, about 5-6 minutes. You'll want to stir constantly.
Spread half of the tortilla chips in even layer over the bottom of a lightly oiled 13x9 baking sheet. Add half the steak, half the cheese and half of the tomatoes. Add a second layer of tortilla chips and top with the remaining steak, cheese and tomatoes. Bake for 10-15 minutes or until cheese is melted.
Top with green onions, avocado, jalapeño and cilantro. Serve with some salsa and sour cream if desired.