Preheat the oven to 420 degrees Fahrenheit.
Add the last 8 ingredients (olive oil through sea salt) to a small blender and blend until completely smooth.
Spread the chopped vegetables on a large baking sheet. Pour the olive oil-balsamic mixture over the vegetables and use your hands to toss everything together until the vegetables are well-coated.
Cut the top off of the bulb of garlic, drizzle generously with olive oil, and wrap in foil.
Place the baking sheet with the vegetables on the center rack of the preheated oven, along with the foil-wrapped bulb of garlic. Roast 30 minutes, stirring halfway through, or until the vegetables are golden-brown and cooked through.
Un-wrap the bulb of garlic and peel the cloves. Add the roasted garlic to the rest of the vegetables. Taste vegetables for flavor and add sea salt to taste. Serve alongside your favorite entree.