Combine cheeses, extracts, and powdered sugar into a large mixing bowl of a stand mixer fit with a paddle attachment (or you can use a hand mixer). Whip on medium-high until thick and fluffy, about 5 minutes.
Fold in 3 tablespoons of chocolate chips. Pour dip into serving bowl. Top with remaining chocolate chips. Let it set in fridge for about 1 hour and then serve with chocolate chips cookies.