01 - In a large bowl, whisk together warm milk, water, melted butter, sugar, and yeast. Let sit 5 minutes until foamy. Add eggs and salt, then gradually mix in flour. Knead 8 minutes until smooth by hand or mixer. Cover and let rise in a warm place for 1 hour until doubled.
02 - Beat cream cheese, sugar, and vanilla until creamy and smooth. Set aside at room temperature for easy spreading.
03 - In a saucepan, combine strawberries, sugar, cornstarch, and lemon juice. Simmer over medium heat for 3 to 5 minutes, stirring constantly until thickened. Remove from heat and cool completely.
04 - Combine brown sugar and cinnamon in a small bowl until evenly blended.
05 - Punch down dough and roll out on a floured surface into a 16x12-inch rectangle. Spread cheesecake filling evenly over dough, top with cooled strawberry mixture, then sprinkle cinnamon sugar across the surface.
06 - Tightly roll up dough from the long edge. Slice into 12 even rolls and arrange in a greased 9x13-inch baking dish. Cover and let rise for 30 to 45 minutes until puffy.
07 - Preheat oven to 350°F. Bake rolls for 25 to 28 minutes until golden brown and cooked through. The center should spring back when lightly touched.
08 - Whisk together powdered sugar, cream cheese, milk, and vanilla until smooth and pourable. Add additional milk 1 teaspoon at a time if needed to reach desired consistency.
09 - Drizzle glaze generously over warm rolls. Allow glaze to set for 5 minutes before serving warm.