Sharjah is strictly 'dry'. This is from the website of the UAE's UK embassy:
"Duty free allowances
2000 cigarettes; 400 cigars; 2 kg tobacco; 2 litres of spirits and 2 litres of wine (non-Muslims only) and perfume. It is prohibited to import alcohol into Sharjah and you are generally not allowed to bring alcohol into the country if you are travelling by land."