Using a food processor, pulse Belvita cookies until they are the texture of dry sand. (If you don't have a food processor, place cookies in a plastic bag and crush with a rolling pin or bottle.)
Pour crumbs into a bowl and add the melted butter, sugar, lime zest, and salt. Stir until combined and resembling wet sand.
Pour mixture into a round 8-inch springform pan. Use a ramekin or flat bottomed glass to press and pack the crumbs into the bottom and all the way up the sides of the pan. Refrigerate until ready to fill.
In a mixer fitted with a whisk attachment (or in a large mixing bowl using an electric mixer), cream together the cream cheese, sugar, vanilla, and lime juice until smooth and fluffy at medium speed, about 3 minutes. Slowly drizzle in the heavy cream and continue mixing until the batter increases in volume and becomes thick, forming stiff peaks. When you tilt the bowl, the batter should stay put.
Spoon the filling into the prepared crust and smooth the top. Refrigerate at least 2 hours or overnight.
Serve with lime zest sprinkled on top.