i just removed my emulsion tubes by blowing copressed air through the end of the circuit, where it opens up into the inner throat of the carb. if you look at the carb from the front (engine side), there is a little hole on the bottom side of the opening. unless they are really crudded in there, compressed air will blow them out. be careful, they'll shoot!
or, if you have the top end of the carb removed and can do what two tired suggests, gently punch them out with something soft, like plastic. he knows a hell of a lot more about these carbs than i do, so listen to him!!