Preheat the oven to 450 degrees or to the temperature listed on the pizza dough package. Put ½ tablespoon of olive oil on a pizza stone or baking sheet and sprinkle crushed red peppers on top.
Spread the pizza dough onto the baking sheet or pizza stone and bake it for about 10 minutes, or until it is cooked through, according to the package instructions.
Slice Mushrooms (Use an egg slicer to get all the mushroom slices the same size)
Chop garlic and shallots.
Place 1 Tablespoon of olive oil in a sauté pan and heat. Add chopped garlic and shallots. Cook until they start to soften.
Add sliced mushrooms (both the Portobello and Shiitake)
Continue cooking the mushrooms and garlic until the mushrooms are softened to your desired texture. Add 1 teaspoon of salt, or to taste.
Spread the mushroom mixture on top of the cooked pizza crust.
Use a spoon to add dollops of the ricotta cheese over the pizza evenly.
Mix the cheddar, parmesan/asiago, and mozzarella cheeses. Sprinkle over pizza.
Sprinkle on the feta cheese.
Bake the pizza in the oven for 20 minutes, checking periodically until it is golden on top.
Slice the basil and sprinkle on top of the pizza.
Slice and enjoy with a good glass of wine