Looked up the process. It looks like the idea is you add milk (or I guess in this case cream) to the mixture and make it curdle, then filter out the curds with a coffee filter, cheese cloth, etc.
This is how we made the drink. Most clarified drinks follow a similar pattern:
You put the cream in a bowl
Then mix all remaining ingredients in another bowl
Slowly add about 1/4th of the mix to the cream and stir gently, this will start curdling the cream
Continue to add the remainder of the mix to the cream and stir gently again
Let sit for an hour (some let it sit over night for the best curdling result)
When done curdling, filter the cocktail through a thin cloth or other filter (we used one of these). This will take at least an hour. Have patience.
Run the now filtered cocktail through the filtered curdles again (pour gently, don't stir them up) and have the same patience again.
Finally run the mix through a coffee filter a couple of times
Chill and serve
This is the longest process I have gone through to make a cocktail, but it was really good and fun to learn! Next clarified cocktail I make will probably be a golden caddilac :)