Quesadilla Bloody Marys

Name: Quesadilla Bloody Marys
Ingredients: 3 c. tomato juice; 1 c. Smirnoff vodka; 2 tbsp. Worcestershire sauce; 1 tbsp. prepared horseradish; 1 tbsp. hot sauce; Juice of 1/2 lemon; Freshly ground black pepper; 4 tsp. extra-virgin olive oil, divided; 2 bell peppers, thinly sliced; 1/2 large onion, thinly sliced; 1/2 tsp. chili powder; Kosher salt; 3 medium flour tortillas; 1 1/2 c. shredded cheddar; 1 1/2 c. shredded Monterey jack; 2 green onions, thinly sliced; Lime wedges; Chili powder; Jalapeños, sliced