In a large pot, combine wine and 1 cup water, and bring to a simmer. Add lobsters, and steam until cooked through, 8 to 10 minutes. Let stand until cool. Remove the tails and claws. Halve the tails lengthwise, then halve them again crosswise. Crack the claws; set aside. Reserve bodies and knuckles for another use.

Bring a large pot of water to a boil; add salt. Add linguine, and cook until al dente, according to package directions.

Meanwhile, in a large saucepan, heat oil over medium heat. Add garlic and cook, stirring, for about 2 minutes. Stir in red-pepper flakes, tomatoes, and mint. Simmer for 3 minutes. Season with salt and pepper.

Drain the pasta, and transfer to a large platter. Ladle sauce over pasta, and top with lobster. Serve immediately.