Tint the 3/4 cup of lime curd with a few drops of both green and yellow food coloring until lime-rind green. Set lime curd aside.
Beat cream cheese and sugar.
Beat in eggs.
Beat in sour cream and vanilla, then flour just until blended.
Remove 1 cup of batter and reserve.
Pour the rest of the batter over the crust.
Mix 1/2 cup of tinted lime curd with the 1 cup of reserved batter.
Place spoonfuls or dollops of this mixture in no particular fashion on top of the plain cheesecake batter. Dollop the remaining 1/4 cup of lime curd across the previous mixture.
Swirl the mixtures together to create a marbleized effect.
Bake for 35 minutes at 325° F.
Let cool completely in pan then refrigerate.
Cut into bars before serving.
Lime Curd
8 tbsp (1 stick) unsalted butter,
softened at room temperature
1 cup sugar
2 large eggs
2 large egg yolks
1/3 cup plus 4 tbsp. fresh lime juice
Beat butter and sugar in a large bowl.
Add the eggs.
Mix in lime juice. The mixture will look like curdled.
Cook the mixture over medium heat until smooth and reaches 170° F and thickens, whisking constantly.
Transfer the curd to a bowl and press plastic wrap on the surface of the lime curd to keep a skin from forming.
Chill the curd in the refrigerator where it will thicken as it cools.
It will keep in the refrigerator for a week and in the freezer for 2 months.