Karen sez, "Instructables user kazmataz has figured out how to freeze alcohol using liquid nitrogen, and made her own cocktail popsicles."
CAREFULLY pour your liquid nitrogen into the container, making sure to not hit the top of your pops. You want enough LN2 to go about halfway up your pop molds.
While that's continuing to bubble away, pour some more LN2 into your smaller container. Delicately pour a little bit on top of your popsicles. It will all evaporate away, so don't worry about consuming any - this is just to ensure things freeze evenly from all sides.
Let the whole thing sit for a few minutes, or until the popsicle sticks seem firmly in place.
**pro-tip: besides just sitting there, and watching the popsicles slowly freeze (booooooring), feel free to carefully move the container around, to keep the liquid nitrogen moving. It speeds up the freezing process a little.