Your correct about Sharia Law Steve but their is so much misinformation shrouding it that it's difficult to really know what's correct. My assistant is Muslim and she is as sweet and kind as one can be, I asked her about it one day.
In the West it's common for people to equate Shariah law with harsh physical punishments, polygamy and the oppression of women. Men and women are not equal under Shariah law, and same-sex relationships are forbidden.Shariah law prohibits bribery or special favours in court, demands equal treatment for rich and poor, and calls for the protection of everyone's property.
One of the major concerns of people critical of Shariah law is that it is subject to interpretation and evolution. This is rightly so for you have militants who wish to twist anything to their benefit.
Twisting and manipulating is not uncommon and our culture in respect to the Bible has done it from day one. The vast majority of Muslims wish to live in peace and have no desire to have their laws imprinted on us, but like always, it's the militants that get all the attention.
Like you Steve, I have deep concerns but I also know first hand that what you see in the media is not what real muslims are like.