Preheat the oven to 450 degrees F. Line a baking sheet with aluminum foil.
Make the filling: Mix the mozzarella, ricotta, basil, scallions, 1/4 cup parmesan and the breadcrumbs in a medium bowl until combined. Divide the pizza dough into 4 equal pieces. Roll out each piece on a lightly floured surface into a 7-to-8-inch round.
Spoon one-quarter of the filling onto one half of each dough round, leaving a 1/2-inch border. Lightly brush the edges of the dough with some of the beaten egg; fold the dough over the filling and crimp the edges with a fork to seal. Transfer the calzones to the prepared baking sheet.
Brush the calzones with the remaining beaten egg and cut 2 slits in the top of each to let steam escape. Sprinkle the calzones with the remaining 2 teaspoons parmesan, then bake until golden brown and cooked through, 18 to 20 minutes. Serve with marinara sauce, the salami and giardiniera.