01 - In a small bowl, combine the warm milk (110°F), active dry yeast, and 1 tablespoon of sugar. Stir gently and let stand for 5 to 10 minutes until the mixture becomes foamy and bubbly.
02 - In a large mixing bowl, whisk together the eggs, melted butter, remaining sugar, and salt until well blended. Pour in the activated yeast mixture and stir to combine.
03 - Gradually add the flour, mixing until a soft dough forms. Turn the dough onto a lightly floured surface and knead for 5 to 7 minutes until smooth, elastic, and slightly tacky to the touch.
04 - Transfer the dough to a greased bowl, turning once to coat all sides. Cover tightly with plastic wrap or a damp kitchen towel. Let rise in a warm, draft-free spot for about 1 hour or until doubled in size.
05 - While the dough rises, combine the chopped strawberries, sugar, and cornstarch in a small saucepan over medium heat. Stir constantly for 3 to 5 minutes until the mixture thickens into a jammy consistency. Remove from heat and cool completely.
06 - Using an electric mixer, beat the softened cream cheese, granulated sugar, and vanilla extract on medium speed until completely smooth and creamy with no lumps remaining.
07 - Punch down the risen dough to release air. On a lightly floured surface, roll the dough into a 16x10-inch rectangle. Spread the cheesecake filling evenly over the surface, then gently layer the cooled strawberry filling on top.
08 - Starting from the long edge, roll the dough up tightly into a log. Using a sharp knife or dental floss, cut the log into 12 equal slices. Place the rolls cut-side up in a greased 9x13-inch baking dish.
09 - Cover the baking dish and let the rolls rise for 30 minutes until puffed and nearly touching each other.
10 - Preheat the oven to 350°F. Bake the rolls for 22 to 25 minutes until the tops are lightly golden and the centers are set. Remove from the oven and let cool slightly.
11 - Whisk together the powdered sugar, 2 to 3 tablespoons of milk, and vanilla extract until smooth and drizzly. Adjust milk quantity for desired consistency. Drizzle generously over the warm rolls and serve immediately.