Cheesesteak-Stuffed Peppers

Ingredients (12)

• 2 tablespoons canola oil, divided
• 1/2 pound sliced fresh mushrooms
• 1 large sweet onion, sliced
• 2 garlic cloves, minced
• 1/2 teaspoon dried thyme
• 1/2 teaspoon dried oregano
• 1/2 teaspoon salt, divided
• 1/2 teaspoon pepper, divided
• 1 beef top sirloin steak (1 pound), thinly sliced
• 1 package (8 ounces) cream cheese, cubed
• 2 cups shredded pepper jack cheese, divided
• 4 large green peppers