In a large mixing bowl, combine the all-purpose flour, granulated sugar, instant yeast, and salt. Mix well.
In a separate bowl, whisk together the warm milk, melted butter, egg, and vanilla extract. Gradually pour the wet mixture into the dry ingredients and stir until a dough begins to form.
Transfer the dough onto a floured surface and knead for about 5 minutes until smooth and elastic. Place in a greased bowl, cover, and let rise for 1 hour.
In a small bowl, combine the softened cream cheese, granulated sugar, and vanilla extract. Blend until smooth.
After the dough has risen, punch it down and roll it out into a rectangle about 1/4 inch thick. Spread the cheesecake filling evenly over the dough and sprinkle diced strawberries on top.
Starting from the long side, roll the dough into a tight log and slice into 12 equal pieces. Place in a greased baking dish and let rise for another 30 minutes.
Preheat the oven to 350°F. Bake the rolls for 25-30 minutes until golden brown.
In a small bowl, whisk together the powdered sugar, milk, and vanilla extract until smooth. Drizzle over warm rolls before serving.