Remove the pizza dough from the refrigerator 2 hours ahead of time in order for it to come to temperature. You want the dough to be around 65 degrees when it's time to stretch it.
Place a baking steel or pizza stone inside your oven and pre heat at 500 degrees for at least 30 mins.
Dust a clean counter top or work surface with flour and a bit of semolina. Place your pizza dough on the surface and stretch it into a 12 inch circle. Dust the pizza peel with semolina and transfer the dough to the peel.
Quickly top the dough with sauce, Calabrian peppers, mozzarella, and soppressata.
Transfer the topped dough from the pizza peel to the baking steel and cook for 3 minutes. Then, using the peel, rotate the pizza 180 degrees and cook for another 3 minutes. Finish the pizza under the broiler for 1-2 minutes, until desired browning is achieved.
Remove the pizza to a cooling rack for a few minutes so that the cheese can set before slicing.