Cheesy Chicken Quesadilla Casserole

Name: Cheesy Chicken Quesadilla Casserole
Ingredients: 2 tablespoons vegetable oil, plus more, for greasing and frying; 3 boneless, skinless chicken thighs, cut into 1/4-inch strips; Kosher salt; 2 poblano chiles, halved lengthwise, stemmed, seeded and cut into 1/4-inch strips; 2 medium tomatoes, chopped; 2 cloves garlic, thinly sliced; 12 small corn tortillas; 3 1/2 cups shredded Mexican cheese blend (about 14 ounces); 1/2 cup grated Parmesan; 1/2 cup sour cream; 2 cups shredded romaine lettuce; 2 radishes, thinly sliced