Increase the oven temperature to 375°F (190°C).
In a large bowl, beat the room-temperature cream cheese with the paddle or a mixer until smooth and creamy.
Add the egg yolks and beat with the whisk or paddle attachment until fully incorporated and the mixture is smooth—about 1 minute—scraping the bowl as needed to eliminate lumps.
Pour in the sweetened condensed milk, lime juice, and lime zest. Whisk thoroughly, scraping the sides and bottom, until the filling is thick, silky, and uniform.
Pour the filling over the cooled crust and return to the oven. Bake 15–18 minutes, until the edges are set and the center still has a slight wobble. Check at 15 minutes and cover loosely with foil if it needs a minute or two more.
Allow the bars to cool in the pan for about 1 hour, then transfer to the refrigerator to chill for 2–3 hours or overnight for best texture.
Lift the bars from the pan using the parchment, slice into serving pieces, and top with whipped cream and extra lime zest if desired.
Store leftovers in an airtight container in the refrigerator for up to 4 days.