The type of alcohol that people drink is ethanol and has a much lower freezing point than water. Waters freezing point is at 32 degrees Fahrenheit while the freezing point of ethanol is -173.2 Fahrenheit. Coming across a freezer cold enough to freeze alcohol is very hard to come by, as the colder end of a household freezer runs at negative 4 degrees Fahrenheit.
This all means that it is almost impossible for you to be able to freeze gin, vodka, or whiskey in your freezer at home. Every type of alcohol does have its own freezing point, making it possible to turn a wine cooler into a slushy, but will have no effect on harder alcohols.