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 add flour, mixing until a soft dough forms. Knead for 8 minutes until smooth and elastic. Transfer to a greased bowl, cover, and let rise 1 hour until doubled.
02 - Combine strawberries, sugar, cornstarch, and lemon juice in a saucepan. Cook over medium heat, stirring constantly, until thickened and jammy, 6-8 minutes. Remove from heat and cool completely.
03 - Beat cream cheese, sugar, and vanilla until smooth and fluffy. Set aside until ready to assemble.
04 - Punch down risen dough and roll into a 16x12 inch rectangle on a floured surface. Spread cheesecake filling evenly over dough, leaving a 1/2-inch border. Top with cooled strawberry mixture. Roll tightly from the long edge to form a log. Slice into 12 equal pieces and place cut-side up in a greased 9x13 inch baking dish. Cover and rise 30 minutes.
05 - Preheat oven to 350°F. Bake rolls for 22-25 minutes until lightly golden and cooked through. Cool slightly in pan before glazing.
06 - Whisk powdered sugar, milk, and vanilla until smooth. Drizzle over warm rolls before serving.