Preheat oven to 350°F (175°C).

In a large bowl, beat cream cheese with 1 1/2 cups of white sugar and vanilla extract until smooth and creamy.

Unroll one package of crescent roll dough and place it in a well-greased 9x13 inch baking pan.

Spread the cream cheese mixture evenly over the crescent roll dough.

Unroll the second package of crescent roll dough and carefully place it over the cream cheese mixture.

In a small bowl, combine the remaining 1/2 cup of white sugar with cinnamon.

Melt the butter in a microwave or saucepan.

Pour the melted butter evenly over the top layer of crescent roll dough.

Sprinkle the cinnamon-sugar mixture evenly over the melted butter.

Bake in the preheated oven for 30-35 minutes, or until golden brown.

Remove from the oven and let the cheesecake cool completely in the pan before serving. This allows the filling to set properly.

Cut into squares and serve.