I have started to wonder about booze in the run up to the Dubai trip. According to DubaiCityGuide.com, alcohol is available in all clubs and restaurants and pubs/bars, that are located in hotels. Restaurants outside a hotel are not allowed to sell or serve alcohol. Muslims are not permitted to buy alcohol. Residents need an Alcohol License to purchase alcohol.
Someone who's been there however has told me that you do see Arabs drinking as well, but that they wrap paper napkins around the bottom of the glasses to disguise the contents.