Combine feta, cream cheese, olive oil, lemon juice, and garlic in a food processor. Blend 2-3 minutes until smooth and airy.
Warm honey and red pepper flakes together in a small saucepan over low heat for 2-3 minutes. Don't let it boil.
Spread the whipped feta onto a shallow serving plate, creating swoops and ridges with the back of a spoon.
Drizzle warm hot honey over the whipped feta. Finish with olive oil, fresh thyme, and flaky salt.
Serve immediately with warm pita, crackers, or sliced baguette.