Remove tentacles from calamari; set tubes aside. Chop tentacles to measure 1 cup.
Heat 2 tablespoons oil in a large nonstick skillet over medium heat until hot. Add onion and 1 tablespoon garlic; sauté 4 minutes or until tender. Stir in reserved tentacles, 2 tablespoons oil, breadcrumbs, and next 3 ingredients. Remove from heat; let cool.
Fill calamari tubes about three-fourths full with breadcrumb mixture, and secure the tubes with wooden picks.
Heat remaining 2 tablespoons oil in a large skillet or Dutch oven. Add stuffed calamari; sauté over medium-high heat 1 minute or just until calamari start to brown. Add remaining 1 tablespoon garlic; sauté 1 minute. Stir in clam juice and wine. Bring broth to a boil; add tomato and next 4 ingredients. Cook 2 minutes (do not overcook). Remove broth from heat; add butter, stirring until butter melts. Remove wooden picks.
Place 4 calamari in each of 4 individual bowls. Pour broth evenly over calamari; sprinkle with cheese.
Note: If calamari are large, prepare 12 and count 3 to a serving.