Crumble the feta into a food processor. Add the softened cream cheese and Greek yogurt.
Add olive oil, lemon juice, garlic, honey, red pepper flakes, black pepper, and salt.
Blend until very smooth and fluffy, scraping the bowl as needed to remove any feta bits.
Pulse in the chopped dill, or fold it in by hand to keep green flecks distinct.
Taste and adjust seasoning with more lemon, salt, or red pepper flakes as desired.
Transfer to a shallow bowl, swirl the top, and garnish with a drizzle of olive oil, diced roasted red pepper, and extra dill. Serve with pita chips and veggies.
Notes
For best texture, use block feta in brine. Make-ahead: cover and refrigerate up to 3 days; stir before serving. If the dip firms up in the fridge, mix in a splash of olive oil or yogurt to loosen.