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 incorporate flour until soft dough forms. Knead 8 minutes until smooth and elastic. Transfer to 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 mixture thickens to jam consistency, 6-8 minutes. Remove from heat and cool completely.
03 - Beat cream cheese, sugar, and vanilla extract until smooth and fluffy. Set aside at room temperature for easy spreading.
04 - Punch down risen dough and roll into 16x12 inch rectangle on floured surface. Spread cheesecake filling evenly, leaving 1/2-inch border. Top with cooled strawberry mixture.
05 - Roll tightly from long edge into log. Cut into 12 equal slices. Place 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 22-25 minutes until lightly golden and centers are set. Cool in dish 10 minutes.
07 - Whisk powdered sugar, milk, and vanilla until smooth. Drizzle generously over warm rolls. Serve while slightly warm.