Melt 2 Tbsp. butter in a large nonstick skillet over medium heat; add bell pepper and onion, and sauté 10 minutes or until tender. Remove from heat; stir in cracker crumbs and next 6 ingredients. Gently stir in crabmeat. Shape mixture into 8 patties; cover and chill at least 1 hour or up to 24 hours.
Melt 1/2 Tbsp. butter with 1/2 Tbsp. oil in a large skillet over medium-high heat. Cook 4 crab cakes 4 to 5 minutes on each side or until golden. Drain on paper towels. Repeat procedure with remaining 1/2 Tbsp. butter, 1/2 Tbsp. oil, and crab cakes. Serve with Lemon Rémoulade; garnish, if desired.
Tip: Handle the crabmeat as little as possible in order to keep the succulent lumps intact.