Preheat oven to 350°F (175°C), grease two 8-inch pans.
Mix flour, cocoa, baking soda, and salt in a bowl.
In another bowl, combine buttermilk, vinegar, vanilla, and red food coloring.
Cream butter and sugar; add eggs one at a time, beating well.
Alternate dry mix and buttermilk mixture into butter mix.
Divide batter between pans, bake 22–25 minutes, cool completely.
Lower oven to 325°F (160°C), prepare springform pan for cheesecake.
Beat cream cheese and sugar until smooth; add vanilla, eggs, sour cream, and cream.
Pour cheesecake batter into pan, bake in water bath 55–65 minutes, then cool and chill for 4+ hours.
Combine strawberries, sugar, cornstarch, lemon juice, and water; simmer until thickened, then cool.
Assemble by layering red velvet cake, cheesecake, second cake layer, then top with strawberry sauce.
Optionally frost with cream cheese frosting and garnish with fresh strawberries.
