No need to become sore over this bun. But It doesn't say It does not follow Sharia law. However, the wiki link provided had a citation to this
http://dubai.usconsulate.gov/emergency_uae_court.html
UAE consulate of US. I quote from it:
"The court structure in Dubai is comprised of the following courts: the Court of First Instance, the Court of Appeal and the Court of Cassation. The Court of First Instance includes the Civil Court, the Criminal Court and the Sharia Court."
Therefore Sharia is included in their system.
Perhaps you have a different opinion about Sharia. As far as I know, many variations of Sharia exists and its not the same as of those ISIS nut job sand niggers.
Some countries practice moderate versions of it(IMO: moderate or not, those ragheads are all bigots and idiots. Bloody troglodytes).