Bring 6 quarts water to boil and set up ice bath.
Cook the shrimp for 1 1/2 minutes and plunge into the ice bath. Cook scampi for 1 minute, and plunge into the ice bath. Cook the calamari 1 minute and do the same. Cook lobster for 8 minutes and then cool in ice bath.
In a large saute pan, place the mussels and clams with 1 cup of water and bring to a boil. Cover and steam, removing each shellfish as it opens. Discard those shellfish that do not open. Keeping each type of shellfish separate, dress each individually with 1 to 2 tablespoons extra virgin olive oil, a touch of lemon juice, a pinch of chile flakes and 1 to 2 tablespoons parsley and salt and pepper, to taste. Do the same with the crabmeat. Arrange all the seafood on a big platter. Garnish with lemon wedges and serve.