Pulse the cookies in a food processor or blender to make fine crumbs. Pulse in the melted butter until well combined.
Press the mixture firmly into the bottom and up the sides of an 8-inch or 9-inch pie pan. Place it in the fridge while you get the filling ready.
In a large bowl, mix together the cookie butter spread, cream cheese, dry pudding mix, and ½ cup of milk (use a hand mixer for a quicker, smoother filling). Fold in the cool whip until completely combined.
Remove the crust from the fridge and pour the filling into the crust, using a spoon or rubber spatula to spread it evenly.
Cover the pie with plastic wrap and refrigerate for about 4 hours until the filling is set and firm.
Notes
The texture will change if you substitute whipped cream.