Preheat the oven to 375°F (190°C).
Arrange half of the tortilla chips in a single layer on a baking sheet or oven-safe skillet.
Spoon half of the chili evenly over the chips, then sprinkle with half of the shredded cheddar and half of the shredded pepper jack.
Repeat with the remaining chips, chili, cheddar, and pepper jack to create a second layer.
Bake in the preheated oven for 10–12 minutes, until the cheeses are melted and bubbly.
Remove from the oven and immediately top with sliced black olives, sliced pickled jalapeños, diced tomatoes, sour cream, and diced green onions.
Serve hot with salsa on the side.