Preheat oven to 375˚F.
In a shallow baking dish, combine oil, butter, tomatoes, garlic, and thyme and place into the oven. Roast tomatoes for 20 to 22 minutes or until soft and bursting. Remove tomatoes from oven and sprinkle with salt and pepper. Set aside.
Place feta, Parmesan, milk, and zest into a food processor and season with salt and pepper. Process mixture until completely smooth.
Place baguette pieces, cut side up, onto a baking sheet and drizzle with olive oil. Place baguette in oven for 6 to 8 minute or until lightly toasted.
To assemble: Spread some of the whipped feta over each piece of toast and using a slotted spoon, top with a few spoonful’s of the roasted tomatoes onto each toast. Finish with a sprinkle of Parmesan and a few fried basil leaves, if using. Serve immediately.