Heat oven to 350°F. Lightly grease bottom and sides of 9-inch springform pan.
In the bowl of a food processor, pulse graham crackers and cookies into fine crumbs. Add melted butter and pulse until wet sand consistency. (Or smash together in a zip top bag.)
Press crust mixture firmly into bottom and slightly up sides of greased springform pan. Bake at 350°F for 6 minutes. Remove from oven.
Filling
Turn oven temperature up to 475°F.
In a large bowl of an electric mixer, beat softened cream cheese on medium-high until smooth. Add sugar and mix on medium until well blended.
Add sugar and mix on medium until well blended.
Add flour. Beat until incorporated.
Drop in lemon zest and salt. Pour in vanilla extract. Beat on low until incorporated.
Crack 5 eggs into a bowl or measuring cup. Dump one or two at a time into cheesecake batter; beat on medium low just until incorporated. Scrape down sides and bottom of bowl after each addition. DO NOT OVER MIX. Do the same thing with 2 egg yolks.
Pour heavy cream into mixture and beat on low just until stirred in. Overbeating will cause the cheesecake to crack.
Pour cheesecake batter into prepared springform pan. Tap pan onto the counter a few times to get out air bubbles.
Place springform pan in oven. Bake at 475°F 10-12 minutes, just until top of the cheesecake starts to brown.
Turn oven temperature down to 200°F. Bake 60-70 minutes, or just until filling sets but is slightly jiggly. Turn off oven. Open oven door slightly and let cool to room temperature or remove cheesecake from oven and let cool to room temperature. After about 30 minutes, run a thin knife between the pan and the cheesecake to be sure it doesn't stick to the side.
Once completely cooled, cover cheesecake in springform pan and place in refrigerator 12 hours or overnight. Remove springform ring from cheesecake. Slice and serve slightly chilled topped with fresh strawberry sauce. Store cheesecake covered in refrigerator up to 7 days or in the freezer up to 3 months.
Strawberry Sauce
Place sugar and water in a small saucepan. Stir and bring to a boil over high heat.
Reduce heat to low and simmer until sugar is dissolved. Cool completely. (Or store in refrigerator until ready to make the sauce a few days later.)
Place syrup in the jar of a blender. Add 2 cups quartered strawberries. Puree until smooth. Pour through a fine strainer, colander, or sieve into a bowl or jar.
Stir remaining two cups of berries into puree. Serve with cheesecake slices. Store in a sealed container in refrigerator up to 3 days.
Notes
Approximately two hours before you want to bake the cheesecake, set out the cream cheese and eggs. Approximately 30 minutes before you want to bake the cheesecake, set out the heavy cream.