Wikipedia's explanation of Sharia is more complex than what you say: http://en.wikipedia.org/wiki/Sharia. Perhaps you could share why you think Wikipedia is wrong? The article states:

"Sharia (Arabic شريعة Šarīʿa; [ʃaˈriːʕa], "way" or "path") is the sacred law of Islam. Muslims believe Sharia is derived from two primary Sources of Islamic law; namely, the divine revelations set forth in the Qur'an, and the sayings and example set by the Islamic Prophet Muhammad in the Sunnah. Fiqh ("jurisprudence") interprets and extends the application of Sharia to questions not directly addressed in the primary sources by including secondary sources. These secondary sources usually include the consensus of the religious scholars embodied in ijma, and analogy from the Qur'an and Sunnah through qiyas. Shia jurists replace qiyas analogy with 'aql, or "reason"."

The article further explains that Sharia covers areas of life such as diet, dress code, sexuality, personal morality, and the punishments prescribed for crimes - the aspects of law in Islamic countries that Westerners view as harsh and sometimes barbaric. For example, punishing theft with hand amputation is part of Sharia. In five Islamic countries under Sharia law the crime of Sodomy is punishable by death.

"Sharia" is no more a specific set of laws than Anglo-Saxon "Common Law". But it is a certain way of creating and judging law based on Islamic religious tradition that is incompatible with a modern secular state.

So if I were to use the term "Sharia" to refer to a strict and expansive system of law based on the Muslim religion, I would be correct.