Step 1: Make the Dough

1. In a large mixing bowl, combine the flour, sugar, yeast, and salt.
2. In a separate bowl, mix the warm milk, melted butter, and egg.
3. Pour the wet ingredients into the dry ingredients and mix until the dough begins to come together.
4. Knead the dough on a lightly floured surface for about 5-7 minutes, or until smooth and elastic.
5. Place the dough in a greased bowl, cover with a clean towel, and let it rise for about 1 hour or until doubled in size.

Step 2: Prepare the Strawberry Cheesecake Filling

1. In a medium bowl, beat the softened cream cheese, sugar, and vanilla extract until smooth and creamy.
2. Stir in the chopped strawberries and strawberry jam until well combined.

Step 3: Prepare the Cinnamon Sugar Mixture

1. In a small bowl, mix the softened butter, brown sugar, and cinnamon until smooth and well combined.

Step 4: Assemble the Rolls

1. Once the dough has risen, punch it down and roll it out on a lightly floured surface into a rectangle (about 12×18 inches).
2. Spread the cinnamon sugar mixture evenly over the dough, then layer the strawberry cheesecake filling on top.
3. Carefully roll the dough up into a tight log, starting from the long edge.
4. Cut the dough into 12 equal rolls and place them in a greased 9×13-inch baking dish.
5. Cover the rolls with a clean towel and let them rise for about 30 minutes.

Step 5: Bake the Rolls

1. Preheat your oven to 350°F (175°C).
2. Bake the rolls for 20-25 minutes, or until they are golden brown and cooked through.

Step 6: Make the Cream Cheese Glaze

1. While the rolls are baking, beat the softened cream cheese, butter, powdered sugar, vanilla extract, and milk (if needed) until smooth and creamy.
2. Adjust the consistency with more milk if the glaze is too thick.

Step 7: Glaze and Serve

1. Once the rolls are baked and slightly cooled, drizzle the cream cheese glaze over the top.
2. Serve warm and enjoy the gooey, creamy goodness!