In a small microwave safe bowl, heat the Irish cream and espresso powder in the microwave on high power for 30-seconds. Repeat for 15-second intervals until the Irish cream is steaming, but not boiling. Add the chopped white chocolate to the hot Irish cream and set aside, stirring occasionally, until all chocolate is melted and the mixture is cooled.
In the bowl of a stand mixer fitted with the whisk attachment, combine the powdered sugar, cream cheese, white chocolate mixture, 3 tablespoons of cream and vanilla. Beat on low speed until combined. Increase the speed to medium-high and whip until fluffy, about 1 minute more. Transfer to a large mixing bowl and set aside.
In the now empty mixing bowl, beat the remaining whipping cream on medium-low speed until foamy, about 1 minute. Increase the speed to high and beat until soft to medium peaks form, about 3 minutes. Using a spatula, fold one-third of the whipped cream into the white chocolate mixture. Gently fold in the remaining whipped cream until blended. Pour into the prepared pie crust.
Refrigerate until set, about 6 to 8 hours. When ready to serve, prepare the topping.