Carrot cake ice cream

So you may think this is “gilding the lily” but what do you serve this with?  Carrot cake!!
You must start making this the day before you need to serve it, don’t forget
First of all, put the inner bowl of an ice cream maker in the freezer the day before you make this.

Makes 1 quart

6 oz cream cheese, at room temperature
3/4 cup sugar
1 cup cold sour cream
1 cup cold heavy cream
A pinch of coarse kosher salt
3 tbsp fresh lemon juice
1/4 tsp good Madagascar vanilla extract
1/4 cup butter
3/4 cup brown sugar
1&1/2 cups shredded carrots
1 tsp cinnamon
2 tsp ground ginger
1/2 tsp apple pie spice (optional)

Chill a medium mixing bowl and the beaters of an electric mixer.
In the bowl beat the cream cheese at medium speed until soft and smooth.
Add the sugar, 1/4 cup at a time beating well after each addition.
Beat in the sour cream followed by the heavy cream.
Add in the salt, lemon juice and vanilla extract. Beat just until thick and smooth.
Cover and refrigerate overnight.

In the meantime melt the butter and brown sugar in a medium skillet over medium heat.
Add in the carrots, cinnamon, ginger and apple pie spice.
Saute until the brown sugar-butter mixture has thickened and reduced and the carrots are cooked.
Place in a bowl in the refrigerator overnight.

The next day, chill the mixer beaters again. using the chilled beaters beat the cold ice cream base going from low speed to medium, until loose and creamy, about 3 minutes.
Pour into an ice-cream maker and freeze according to the manufacturer’s instructions.
In the last 5 minutes of mixing, pour in the carrot-brown sugar-butter mixture.
Churn until combined.
Serve immediately or, if too soft, freeze for an hour or so in a covered container until it has reached the desired consistency