For the lobster: Rub the lobster meat with the garlic, oil and butter and sprinkle with salt and black pepper. Grill, body-side down at first, until cooked three-quarters of the way through; flip and grill meat-side down. Remove from the grill and squeeze over the lime juice.
For the cioppino: Heat the olive oil in a saucepan until just about to the smoking point; quickly add the garlic, tomatoes and red pepper flakes. Saute until the garlic becomes translucent. Add the clams, cook for 2 minutes, then add the shrimp and the wine immediately after. Simmer until the shrimp and clams are halfway cooked, then add the butter, crab claws and knuckle meat and the lionfish. Cover and simmer until the fish is barely cooked through; season with salt and black pepper, and finish with the basil, parsley, mint and a spritz of fresh lemon juice.
Reheat the grits, if needed, and place 2 cups grits into a large, deep platter. Arrange the cioppino around the grits, and garnish with the grilled lobster. Serve.