Just require that the bartenders place more alcohol in each drink to ensure that the germs are killed. Then you won’t need gloves or at least the customers will care less.
I've always suspected that was the real reason behind the European tradition of drinking a "digestif" (especially the ones as strong as kerosene or heavily herb-infused) after a meal. I suppose "to aid in digestion" is a vague way of saying "reducing the chances of illness due to food poisoning".