Gather all your equipment and ingredients and chop your vegetables then preheat your oven to 375℉/190℃ and line a large baking sheet with parchment paper or foil
Slice the top off the head of garlic and drizzle it with olive oil and salt and pepper; place it cut side down on the baking sheet and bake it for 10-15 minutes while you chop the veggies (it doesn't matter if the oven is not fully preheated yet)
In a large bowl, toss together squash, mushrooms, olive oil, salt, black pepper and smoked paprika
Carefully transfer to the prepared baking sheet with the roasted garlic and roast for 20-25 minutes or until the edges are beginning to char
Remove the vegetables from the oven and set aside to cool; increase the oven temperature to 425℉/220℃
Carefully remove the parchment paper or foil from the baking sheet and replace with a fresh piece so you can use the same pan to bake the pizza; if your baking sheet is not large enough for both pizzas, prepare a second baking sheet
Divide the pizza dough in half, then roll out or hand pull each dough to about a 10-12 inch circle about ⅓ of an inch thick, sprinkling with flour as needed so it does not stick (see Note 4)
Make the hot honey roasted garlic butter; melt the butter in a microwave-safe bowl in bursts of 20 seconds, then add the roasted garlic cloves and mash them into the butter
Add the dried parsley, salt, honey and chili flakes and mix until combined
Brush each pizza dough all over with the roasted garlic butter, leaving a small border for the crust
Top with the mozzarella cheese, followed by the roasted squash and mushrooms, the goat cheese crumbles and sage ribbons
Bake for 15-18 minutes or until crust is golden and crispy
Cut into 4-6 slices and serve