In a large bowl with hand mixers or in a stand mixer fitted with the whisk attachment, whip the heavy cream and vanilla on medium-high speed until stiff peaks form, about 3 minutes (every mixer is different, so the time may vary a bit). Scoop gently into a bowl and set aside in the fridge.
1 ¼ cup heavy cream, 1 tsp vanilla extract
In the now empty bowl (no need to wash), use a paddle attachment to beat the cream cheese on medium speed until really smooth, 30-60 seconds. Scrape the bowl well.
2 8 ounce, full fat packages cream cheese, softened
Add the condensed milk and beat on medium speed 2-3 minutes, scraping the bowl once or twice in the middle. It should be very smooth.
14 ounce can of sweetened condensed milk
Add the yogurt, lime juice, and zest. Beat on medium speed for 1 more minute.
⅓ cup plain greek yogurt, ⅓ cup lime juice, 1 tbsp lime zest
Using a rubber spatula, add the prepared whipped cream on top of the cream cheese mixture. Fold the cream into the batter gently and slowly so that it doesn't deflate, turning the bowl a little each time you fold to help it mix more evenly. It should be evenly combined with no white streaks remaining.
Pour the filling into the crust and smooth the top with an offset spatula. Cover with plastic wrap, being careful to keep the plastic tight off the surface, then refrigerate for at least 12 hours or up to 2 days.
Once completely chilled, gently release the cheesecake from the pan. If it is sticking at all, carefully run a knife along the edge of the pan first. Serve with fresh whipped cream and lime slices, if desired.
Whipped cream, Lime slices or zest