01 - Whisk warm milk, sugar, and yeast in a large bowl. Let stand 5 minutes until foamy. Stir in melted butter, egg, and salt. Gradually incorporate flour until soft dough forms. Knead 8 minutes by hand or with dough hook until smooth and elastic. Transfer to greased bowl, cover, and let rise 1 hour until doubled.
02 - Combine strawberries, sugar, cornstarch, and lemon juice in saucepan. Cook over medium heat, stirring constantly, until thickened to jam-like consistency, 6-8 minutes. Remove from heat and cool completely.
03 - Beat cream cheese, sugar, and vanilla extract with electric mixer until smooth and fluffy. Set aside until ready to assemble.
04 - Punch down risen dough and roll out on floured surface to 16x12 inch rectangle. Spread cheesecake filling evenly over dough, leaving 1/2-inch border. Spoon cooled strawberry mixture atop cheesecake layer.
05 - Roll dough tightly from long edge to form log. Cut into 12 equal pieces. Place rolls cut-side up in greased 9x13 inch baking dish. Cover and let rise 30 minutes until puffy.
06 - Preheat oven to 350°F. Bake rolls 22-25 minutes until lightly golden and cooked through. Remove from oven and let cool slightly in dish.
07 - Whisk powdered sugar, milk, and vanilla extract until smooth and pourable. Drizzle over warm rolls before serving.