Step 1: Prepare the cheesecake filling

1. In a medium bowl, beat the cream cheese, sugar, and vanilla extract until smooth.
2. Scoop 1-teaspoon-sized portions onto a parchment-lined baking sheet. Freeze for at least 30 minutes or until firm.

Step 2: Make the cookie dough

1. Preheat your oven to 350°F (175°C). Line two baking sheets with parchment paper.
2. In a large bowl, cream together the butter, granulated sugar, and brown sugar until light and fluffy.
3. Beat in the eggs one at a time, followed by the vanilla extract.
4. In a separate bowl, whisk together the flour, baking soda, and salt. Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
5. Fold in the crushed chocolate sandwich cookies.

Step 3: Assemble the cookies

1. Scoop 2-tablespoon-sized portions of cookie dough and flatten each portion into a disk.
2. Place a frozen cheesecake filling portion in the center of each disk and wrap the cookie dough around it, sealing the edges completely.
3. Roll into a smooth ball and place on the prepared baking sheets, spacing cookies about 2 inches apart.

Step 4: Bake the cookies

1. Bake for 12-14 minutes, or until the edges are set and the tops are just starting to turn golden.
2. Allow the cookies to cool on the baking sheets for 5 minutes before transferring to a wire rack to cool completely.