01 - Pour the warm milk into a large mixing bowl and sprinkle the active dry yeast over the surface. Let the mixture stand for 5 minutes until it becomes frothy and bubbly, confirming the yeast is active.
02 - Add the melted butter, egg, granulated sugar, and salt to the yeast mixture. Stir to combine, then gradually incorporate the all-purpose flour, about 1/2 cup at a time. Knead the dough by hand for 5 to 8 minutes until it becomes smooth, soft, and slightly tacky but no longer sticks to your fingers.
03 - Shape the dough into a ball and place it in a lightly oiled bowl, turning once to coat all sides. Cover tightly with plastic wrap or a clean kitchen towel. Set in a warm, draft-free spot and let rise until doubled in volume, approximately 1 hour.
04 - While the dough rises, beat the softened cream cheese, granulated sugar, and vanilla extract together in a medium bowl using a hand mixer or whisk until completely smooth and creamy. Set aside.
05 - In a separate bowl, toss the diced strawberries with the granulated sugar and cornstarch until the fruit is evenly coated. The cornstarch will help thicken the juices during baking.
06 - Punch down the risen dough and transfer it to a lightly floured surface. Roll it out into a 12 by 16-inch rectangle. Spread the cheesecake filling evenly across the dough, leaving a 1/2-inch bare border along all edges. Scatter the strawberry mixture uniformly over the cream cheese layer.
07 - Starting from one long side, gently but firmly roll the dough up into a tight log. Pinch the seam and ends to seal. Using a sharp knife or unflavored dental floss, slice the log into 12 equal pieces. Arrange the rolls cut-side up in a greased 9 by 13-inch baking pan.
08 - Cover the pan loosely with a towel and let the rolls rise in a warm place for 20 to 30 minutes until they appear puffy and have expanded to fill most of the pan.
09 - Preheat the oven to 350°F. Bake the rolls for 22 to 25 minutes until the tops are golden brown and the centers feel set. Remove from the oven and allow to cool in the pan for 10 minutes.
10 - Whisk together the powdered sugar, 2 tablespoons of milk, and vanilla extract until a smooth, pourable glaze forms. Add the remaining tablespoon of milk if a thinner consistency is desired. Drizzle the glaze generously over the warm rolls before serving.