Line a 9" springform pan with parchment paper. Wrap in two layers of foil. Preheat oven to 350 °F
Crush cookies with a rolling pin in a plastic baggie or use a food processor. Combine crumbs and melted butter. Press into pan using a glass or your hands being sure to go up the sides as well.
In a large bowl mix cream cheese until smooth and fluffy. Stir in white sugar, brown sugar, and ¼ cup of cookie butter.
Stir in cornstarch, salt, vanilla, heavy cream, and lemon juice. Add eggs on a time until just combined. Do not overmix.
Pour cheesecake batter onto crust in springform pan. Allow at least ½″ of room at the top for the cheesecake to expand while cooking, so you may end up with a bit of excess batter.
Heat remaining ¾ cup in the microwave for 30-60 seconds until melted. Pour onto filling and swirl with a knife or skewer.
Place springform pan inside a large roasting pan. Place in oven and pour in around 1 inch of boiling water.
Bake at 350 degrees for 10 minutes. Reduce heat to 275 degrees and bake for 70-80 more minutes. The center should be slightly jiggly but not soupy.
Turn oven off, crack open door and cool in oven for 1 hour.
Remove from oven. Cool completley before storing the in the fridge.