01 - Whisk warm milk, sugar, and yeast in a large bowl. Let sit for 5 minutes until foamy. Add melted butter, egg, and salt. Gradually mix in flour until a soft dough forms. Knead by hand or with dough hook for 8 minutes until smooth and elastic. Place in a greased bowl, cover, and let rise for 1 hour until doubled in size.
02 - Combine strawberries, sugar, cornstarch, and lemon juice in a saucepan. Cook over medium heat, stirring constantly, until thickened and jammy, about 6-8 minutes. Remove from heat and let cool completely.
03 - Beat cream cheese, sugar, and vanilla extract with an electric mixer until smooth and fluffy, about 2-3 minutes.
04 - Punch down risen dough and roll out on a floured surface to a 16x12 inch rectangle. Spread cheesecake filling evenly over dough, leaving a 1/2-inch border. Spread cooled strawberry mixture on top of cheesecake layer. Roll up tightly from the longer side to form a log. Slice into 12 equal pieces using a sharp knife.
05 - Arrange rolls, cut side up, in a greased 9x13 inch baking dish. Cover with plastic wrap and let rise for 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 the dish.
07 - Whisk powdered sugar, milk, and vanilla extract until smooth. Drizzle glaze over warm rolls before serving.