Combine 2 tablespoons lime juice, 1 tablespoon olive oil, chili powder, 1/2 teaspoon cumin, black pepper, hot sauce, paprika, and 2 garlic cloves in a medium bowl.
Add shrimp; toss well. Marinate in refrigerator 30 minutes.
Rinse and drain quinoa.
Heat 1 teaspoon oil in a large saucepan over medium-high heat.
Add 1 cup water; bring to a boil. Cover, reduce heat, and simmer 13 minutes or until liquid is absorbed. Cool.
Combine remaining 2 tablespoons lime juice, remaining 2 tablespoons olive oil, remaining 1/2 teaspoon cumin, 1/4 teaspoon salt, and honey in a large bowl; stir with a whisk.
Add quinoa mixture, tomatoes, chickpeas, avocado, and cheese; toss gently.
Remove shrimp from bowl; discard marinade.
Sprinkle shrimp with remaining 1/4 teaspoon salt. Thread 3 shrimp onto each of 8 (6-inch) skewers.
Place skewers on grill rack coated with cooking spray. Grill 2 minutes on each side or until done.
Divide quinoa mixture evenly among 4 plates. Top each serving with 2 skewers.