Cut poblano and bell peppers in half lengthwise; discard seeds and membranes. Place pepper halves, skin sides up, on a foil-lined baking sheet; flatten with hand. Add corn to baking sheet. Broil 18 minutes or until peppers are blackened and corn is lightly browned, turning corn occasionally. Place peppers in a zip-top plastic bag; seal. Let stand 10 minutes. Peel and coarsely chop. Cut kernels from ears of corn.
Combine juice, oil, salt, black pepper, cumin, and garlic in a large bowl; stir. Add peppers, corn, pasta, and remaining ingredients except cheese; toss. Top with cheese.