01 - Combine 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 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, 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, about 2 minutes. Set aside until ready to assemble.
04 - Punch down risen dough and roll into a 16x12 inch rectangle on floured surface. Spread cheesecake filling evenly, leaving 1/2-inch border. Top with cooled strawberry mixture. Roll tightly from long edge to form log. Cut into 12 equal pieces.
05 - Place rolls cut-side up in greased 9x13 inch baking dish. Cover and let rise for 30 minutes. Preheat oven to 350°F. Bake for 22-25 minutes until golden brown and cooked through. Cool slightly before glazing.
06 - Whisk powdered sugar, milk, and vanilla extract until smooth. Drizzle generously over warm rolls. Serve immediately or store refrigerated.