Spoon a couple of tablespoons oil off the mojo de ajo into a very large (12-inch) skillet. Scrape the remaining mojo into a small saucepan and add the nuts, dried fruit, wine and 1/2 teaspoon salt. Simmer over medium heat until the wine has reduced and the nuts and fruit start to slowly sizzle in the oil, about 5 minutes; reduce the heat to low.
Set the skillet with the oil over medium-high heat. When hot, sprinkle both sides of the fish fillets with salt and lay them into the oil. When brown underneath, about 3 minutes, flip the fillets over and cook the other side until the fish is as done as you like—about 3 minutes more for medium-done halibut or snapper. Transfer to warm dinner plates. Stir the parsley into the fruity, nutty mojo and spoon it over the fish. Serve right away.