01 - Whisk together warm milk, water, melted butter, sugar, and yeast in a large bowl. Let stand for 5 minutes until mixture becomes foamy, indicating yeast activation.
02 - Add eggs and salt to the yeast mixture. Gradually incorporate flour, mixing until a shaggy dough forms. Knead by hand or with a stand mixer for 8 minutes until smooth and elastic.
03 - Cover the dough with plastic wrap or a clean towel. Place in a warm, draft-free area and let rise for 1 hour until doubled in size.
04 - Beat softened cream cheese, sugar, and vanilla extract in a medium bowl until completely smooth and creamy. Set aside at room temperature.
05 - Combine diced strawberries, sugar, cornstarch, and lemon juice in a saucepan. Simmer over medium heat for 3 to 5 minutes, stirring constantly, until mixture thickens. Remove from heat and cool completely.
06 - Mix brown sugar and cinnamon in a small bowl until evenly combined.
07 - Punch down risen dough and turn onto a lightly floured surface. Roll into a 16x12-inch rectangle, ensuring even thickness throughout.
08 - Spread cheesecake filling evenly over the dough surface. Top with cooled strawberry mixture, then sprinkle cinnamon sugar layer over the strawberries.
09 - Starting from a long side, roll the dough tightly into a log. Slice into 12 equal pieces using a sharp knife or dough scraper.
10 - Arrange rolls in a greased 9x13-inch baking dish, cut side up. Cover and let rise in a warm place for 30 to 45 minutes until puffy and nearly doubled.
11 - Preheat oven to 350°F. Bake rolls for 25 to 28 minutes until golden brown on top and cooked through in the center.
12 - Whisk powdered sugar, softened cream cheese, milk, and vanilla extract in a small bowl until completely smooth and free of lumps.
13 - Drizzle warm rolls generously with vanilla glaze. Serve immediately while still warm for best texture and flavor.