See it looks so nice and frozen, like a Wendy's Frosty consistency.
Here's mine: Much more frothy than frosty.
Honestly, with that much booze added to ice cream, I don't know how it could be anything but liquid. The recipe calls for 2 oz each of Bailey's Irish Cream, Kahlua, and vodka blended with 6 oz vanilla ice cream. I used an immersion blender. I think you're going to have to add ice to get this frozen because the alcohol content combined with blending quickly melts the ice cream.
Here's another version from allrecipes.com that I have not tried. It calls for ice instead of ice cream. I think this has excellent potential, and I think a combo of ice and ice cream would be best.
At any rate, the flavor is excellent and I should be asleep in no time tonight if I drink much of this thing...it is strong.