Preheat oven to 325°F.
Take about 12 graham crackers and pulse in food processor until fine crumb. Add 5 tbsp of melted butter, and 2½ tbsp sugar and press into a 8 inch springform pan.
Bake at 325°F for about 10 minutes. Remove from oven and allow to cool.
In a small-medium bowl, break up one of your white chocolate bars. Fill a saucepan with about 1-2 inches of water and bring to a low boil. Place the bowl of chocolate over the top of the sauce pan, making sure the bowl does not touch the water.
Stir the white chocolate as it melts. Once all the chocolate has melted, remove the bowl from the heat and allow to cool. Move on to the next step while the chocolate cools. You want it to be warm to room temperature and still liquid but no longer hot.
In the bowl of your stand mixer, add sugar and zest lemons into the sugar, avoiding the white pith while zesting.
Rub the sugar and zest together in your fingers. The sugar will begin to feel a little more sandy and take on a yellow color and lemony fragrance.
Add cream cheese to the sugars and mix until smooth, about 2-3 minutes. Stopping once halfway through to scrape the bottom of bowl and paddle to ensure cream cheese is fully incorporated.
Add your cooled white chocolate, lemon juice and lemon extract/emulsion and mix into the batter.
Add in heavy cream and vanilla and mix for about 20-30 seconds.
Add your eggs to the batter and mix on low for about 1 minute. You can add all 3 at once, just don't overmix the batter.
Pour batter into cooled crust, then gently tap on countertop to remove any bubbles.
Optional: Prepare Water BathIf baking with a water bath, prepare your pans. I like to put my 8 inch pan inside a 9 inch cake pan, and both of those inside a large casserole dish or roasting pan. This ensures no leaking! However, you can also wrap your pan with tin foil, or use a oven roasting bag around the sides (not covering the top) of your cheesecake pan. Fill the dish for the water bath with about 1 inch of water. Bake for 50-60 minutes. The center should still jiggle but edge should be set. Check around 50 minutes. Turn oven off, leaving door ajar and let cool in oven for at least 1 hour inside the oven.
Cheesecake should be refrigerated overnight (do not cover with plastic wrap or aluminum foil) or at least 8 hours to completely set.