Don,
I came out here last year through Ramadam and stayed at the Sheraton for two months, you could still get a drink either in your room or with your meal at Ramadam, they willl show you to a barriered area of the resturant where you can drink, or you can have room service or raid the mini bar. All the Bars are shut, you can try getting it out of the airport, staying at a hotel, they have been known to let it through, but i would say no chance during Ramadam.