01 - Whisk warm milk, sugar, and yeast in a large bowl. Let stand for 5 minutes until foamy. Stir in melted butter, egg, and salt. Gradually incorporate flour until a soft dough forms. Knead by hand or with dough hook for 8 minutes until smooth and elastic. Transfer to a greased bowl, cover, and let rise for 1 hour until doubled.
02 - Combine strawberries, sugar, cornstarch, and lemon juice in a saucepan. Cook over medium heat, stirring constantly, until mixture thickens to jam consistency, about 6-8 minutes. Remove from heat and allow to cool completely.
03 - Beat cream cheese, sugar, and vanilla extract with electric mixer until smooth and fluffy. Set aside until assembly.
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. Layer cooled strawberry mixture on top. Roll tightly from the longer edge to form a log. Slice into 12 equal pieces and arrange cut side up in greased 9x13 inch baking dish. Cover and let rise for 30 minutes.
05 - Preheat oven to 350°F. Bake rolls for 22-25 minutes until lightly golden and cooked through. Remove from oven and let cool slightly in pan.
06 - Whisk powdered sugar, milk, and vanilla extract until smooth consistency forms. Drizzle glaze generously over warm rolls immediately before serving.