How to Make It
In a small bowl, mix the mayonnaise with the lemon juice, lemon zest, garlic, parsley, thyme and honey and season with salt and pepper. Cover and refrigerate until ready to use.
In a medium bowl, stir the mayonnaise with the piquillo peppers, cornichons, shallot, egg, parsley, mustard, salt and lemon zest. Season with pepper and fold in the crab and 1/4 cup plus 2 tablespoons of the panko. Form the mixture into 2-inch cakes about 1/4 inch thick; you should have about 12 crab cakes.
Spread the remaining 2 cups of panko on a large plate. Coat the crab cakes with the panko, pressing to help the panko adhere.
In a large nonstick skillet, heat 1/4 inch of vegetable oil until shimmering. Fry the crab cakes in 2 batches, turning once, until golden on both sides, about 6 minutes total. Drain on paper towels.
Meanwhile, preheat the broiler. Spread the hoagie rolls with the butter and toast under the broiler until the edges are golden and crisp, about 1 minute. Spread the rolls with a generous amount of the lemon aioli. Lay 3 crab cakes on the bottom half of each roll and top with shredded lettuce and sliced tomatoes. Close the sandwiches and serve immediately.