01 - Whisk warm milk, sugar, and yeast in a large bowl. Let sit 5 minutes until foamy. Add melted butter, egg, and salt. Gradually mix in flour until soft dough forms. Knead by hand or with dough hook for 8 minutes until smooth and elastic. Place in 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 and jammy (6-8 minutes). Remove from heat and let 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 out on floured surface to 16x12 inch rectangle. Spread cheesecake filling evenly over dough, leaving 1/2-inch border. Gently spread cooled strawberry mixture on top of cheesecake layer.
05 - Roll up tightly from longer side to form log. Slice into 12 equal pieces. Arrange 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 for 22-25 minutes until lightly golden and cooked through. Remove from oven and cool slightly in pan.
07 - Whisk powdered sugar, milk, and vanilla until smooth. Drizzle generously over warm rolls before serving.