Place the feta and yogurt in a food processor. Stream in the olive oil and lemon juice.
Place the watermelon, cucumber, red onion, olives, and chili peppers in a large bowl. Add dressing and toss.
Spoon the whipped feta onto a large plate. Spoon the watermelon salad into the center.
Decorate the dish with microgreens, mint blossoms, and basil leaves.