01 - Whisk warm milk, sugar, and yeast in a large bowl. Let stand 5 minutes until foamy. Add melted butter, egg, and salt. Gradually incorporate flour until soft dough forms. Knead by hand or with dough hook for 8 minutes until smooth and elastic. Transfer to greased bowl, cover, and rise 1 hour until doubled.
02 - Combine strawberries, sugar, cornstarch, and lemon juice in saucepan. Cook over medium heat, stirring constantly, until thickened and jammy consistency forms, 6-8 minutes. Remove from heat and cool completely before using.
03 - Beat softened cream cheese, sugar, and vanilla extract with electric mixer until smooth and fluffy, approximately 2-3 minutes. Set aside at room temperature for easy spreading.
04 - Punch down risen dough and roll out on lightly floured surface to 16x12 inch rectangle. Spread cheesecake filling evenly over dough, leaving 1/2-inch border. Layer cooled strawberry mixture atop cheesecake filling. Roll tightly from longer edge to form log. Slice into 12 equal portions using sharp knife.
05 - Arrange rolls cut side up in greased 9x13 inch baking dish. Cover and let rise 30 minutes until puffy. Preheat oven to 350°F. Bake 22-25 minutes until lightly golden and centers are fully cooked. Cool in dish 10 minutes before glazing.
06 - Whisk powdered sugar, milk, and vanilla extract until smooth consistency forms. Drizzle generously over warm rolls. Serve immediately while slightly warm for optimal texture.