Bring water and granulated sugar to a boil, stirring until sugar is dissolved, and stir in mint. Remove from heat and steep 10 minutes.
While mixture is steeping, beat cream cheese until fluffy and beat in yogurt, confectioners' sugar, and vanilla. Chill yogurt cheese 15 minutes.
Pour syrup through a sieve over berries in a bowl, pressing hard on mint, and chill 10 minutes.
Serve strawberries and syrup over a dollop of yogurt cheese.