Clean the calamari and cut the bodies into thick rings, reserving the tentacles separately.
Mix the milk and Hot Sauce (SJ3127HH) in a large bowl. Add the calamari and soak in the buttermilk for up to 4 hours.
In a bowl, mix the flour, salt, black pepper, paprika, and cayenne.
Remove the calamari from the buttermilk and drain. Dip into the flour mixture.
Fill a heavy skillet with 2 cups vegetable oil and heat over medium-high heat to 360°F, or set a deep fryer to 360°F. Fry the calamari, in batches, until brown and crispy, about 2 minutes.
Drain and serve with Cilantro Lime Aioli and lemon wedges.