01 - Whisk warm milk, sugar, and yeast in a large bowl. Let stand 5 minutes until foamy. Add melted butter, egg, and salt. Gradually incorporate flour until soft dough forms. Knead 8 minutes until smooth and elastic. Place in greased bowl, cover, and rise 1 hour until doubled.
02 - Combine strawberries, sugar, cornstarch, and lemon juice in saucepan. Cook over medium heat, stirring constantly, until thickened and jam-like, 6-8 minutes. Cool completely before using.
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 16x12 inch rectangle on floured surface. Spread cheesecake filling evenly, leaving 1/2-inch border. Top with cooled strawberry mixture. Roll tightly from long side to form log. Slice into 12 equal pieces.
05 - Arrange rolls cut-side up in greased 9x13 inch baking dish. Cover and let rise 30 minutes. Preheat oven to 350°F. Bake 22-25 minutes until golden brown and cooked through. Cool slightly.
06 - Whisk powdered sugar, milk, and vanilla until smooth. Drizzle over warm rolls just before serving.