Grease and flour an Angel Food Cake pan (Tube pan) and set aside.
In the mixing bowl of a stand mixer, add the Cake mix, Yogurt, Key Lime Juice, and mix on low just until blended.
Add the Eggs, and mix just until blended. Ad the Lime Zest, Heavy Cream, and Vegetable Oil, and mix until all ingredients are blended.
Stop the mixer, and scrape down the sides of the bowl, then turn the mixer on Medium High, and mix for 2 minutes. Pour half of the Cake batter into the Tube pan, and bake at 350 for about 25 minutes, or until a toothpick inserted into the center comes out clean.
Remove from oven, and set on a cooling rack.
Pour the other half of the batter into a bowl, and place in the refrigerator.
Place the Softened Cream Cheese in the mixing bowl, ad add the Greek Yogurt, and Sugar, and mix on low until well blended, and smooth.
Add the Eggs, Vanilla, and Strawberry Flavoring, and blend until all ingredients are well mixed.
Scrape down the sides of the mixing bowl, and mix until the ingredients are well mixed.
Add the Food Coloring Gel a few drops at a time, and mix well, until desired bright pink color is achieved.
Scrape down the sides of the mixing bowl, again, and blend until smooth, and bright pink.
Pour the Cheesecake Batter into the Pan, on top of the Cake.
Place the pan back in the oven for an hour and 10 minutes, or until the Cheesecake is baked, not jiggly when the pan is moved, and the top is completely set.
Remove the Angel Food Cake Pan from the oven, and cool for 30 minutes.
Remove the Key Lime Cake Batter from the refrigerator, and let set at room temperature while the Cheesecake cools. After 30 minutes, pour the Cake Batter on top of the Cheesecake, and place the pan back in the oven.
Bake for 20 to 25 minutes, or until the cake is completely done, and a toothpick inserted in the center comes out clean. Remove the pan from the oven to a wire rack, and cool completely.
DO NOT remove the cake from the pan.
Once the cake is cooled to room temperature, cover with foil, and place in the refrigerator overnight.