Wonderful DIY Red Velvet Cheesecake

For the Cheesecake:
32 ounces cream cheese, at room temperature
1¼ cups granulated sugar
4 eggs, at room temperature
¾ cup heavy cream
1 tablespoon vanilla extract

For the Red Velvet Cake:
½ cup unsalted butter, at room temperature
1½ cups granulated sugar
2 eggs
¼ cup + 1 tablespoon unsweetened cocoa powder
6 tablespoons red food coloring (liquid)
1 teaspoon vanilla extract
1 cup buttermilk
2¼ cups all-purpose flour
1 teaspoon baking soda
1 teaspoon salt
1 tablespoon distilled white vinegar

For the Cream Cheese Frosting:
1 cup butter, at room temperature
8 ounces cream cheese, at room temperature
5 cups powdered sugar
2 tablespoons vanilla extract