In a small saucepan, combine 1/2 cup of extra-virgin olive oil and 1 to 3 tablespoons of crushed Calabrian chile peppers, adjusting the heat level to your preference.
Add 14 peeled garlic cloves, leaves from 4 sprigs of fresh thyme, and leaves from 2 sprigs of fresh oregano to the saucepan.
Place the saucepan over low heat and gently warm the mixture for about 10 minutes, allowing the flavors to meld. Be careful not to let the oil boil.
Once the oil is infused, remove it from heat and strain the mixture through a fine-mesh sieve into a bowl, discarding the solids.
In a food processor, combine 10 ounces of room-temperature goat cheese, 4 ounces of room-temperature cream cheese, 2 teaspoons of honey, and 1 teaspoon of freshly ground black pepper.
Process the cheese mixture until it becomes creamy and smooth. Taste and add fine pink Himalayan salt as needed.
Transfer the whipped cheese to a serving bowl, drizzle the infused Calabrian chile oil generously on top, and garnish with fresh basil leaves for a pop of color and flavor.
Present the dip with an assortment of crunchy vegetables, crackers, or slices of fresh bread for dipping.