Heat a large nonstick skillet over medium-high heat. Add first 5 ingredients; saute 4 minutes or until vegetables are soft. Place mixture in a large bowl; cool completely. Stir in crabmeat; set aside.
Combine mayonnaise and the next 5 ingredients (mayonnaise through egg whites) in a small bowl. Gently fold mayonnaise mixture into crab mixture. Stir in 7 tablespoons breadcrumbs. Divide mixture into 8 (3/4-inch-thick) patties. Dredge patties in 3 tablespoons breadcrumbs.
Heat oil in pan over medium-high heat. Place patties in pan; cook 4 minutes. Turn patties, and cover pan; cook 4 minutes or until done. Serve with lime wedges.