Hello,
This is an odd question, but is there a possibility of failing a breathalyzer test due to using an electronic cigarette as the liquid contains small amounts of alcohol?
Well, try to distract the cop for a little while, any residual alcohol will dissapate within a few seconds. They usually don't let you smoke after you are stopped, so go along with that! Unless you are saturated, I don't think it will pick up any on your breath, ok? Do a lot of heavy breathing till he gets out the BA, that will help. But if you had a couple beers already or Drank the e-juice, I don't have much hope the above instruction will help a lot.
It was sort of an odd question. Anyway, the alochol that is detected by the BA comes from normal respiration as it carries itself from your vascular system into your lungs and out your mouth. In that case, you are screwed. Unless you inhale your beer, in which case he/she would take you to a safe place anyway.