Preheat the oven to 400°F. In a small baking dish combine 1/2 cup extra-virgin olive oil, 1 to 3 tablespoons crushed Calabrian chile peppers (to taste), 14 peeled garlic cloves, the leaves from 4 sprigs fresh thyme, the leaves from 2 sprigs fresh oregano, 1 teaspoon freshly ground black pepper, and a pinch of fine pink Himalayan salt.
Bake until the garlic is golden and the oil is sizzling, about 20 minutes. Remove the dish from the oven and let it cool for a few minutes until warm but not piping hot.
Use a slotted spoon to transfer the garlic to a cutting board. Finely chop or mash the garlic and stir it back into the oil. Set the Calabrian chile oil aside to cool to warm or room temperature.
While the oil cools, make the whipped goat cheese: in a food processor combine 10 ounces goat cheese (at room temperature), 4 ounces cream cheese (at room temperature), and 2 teaspoons honey. Pulse until smooth and creamy, about 1 to 2 minutes, stopping a few times to scrape down the sides with a flexible spatula.
Taste the whipped cheese and season with fine pink Himalayan salt to taste. Spoon the whipped cheese into a serving bowl and create a shallow well in the center.
Pour the Calabrian chile oil and garlic over the whipped goat cheese, top with basil leaves, and serve with crunchy vegetables, crackers, and/or bread for scooping.