You guys watch too much TV. If these so called sharia courts try to carry out sentences that violate the laws of the country they're in they'll be rounded up like common criminals. eg If they stone a woman they'll find themselves in a real court for murder.
Like I said, you need to be better informed. Those types of extreme sentences are almost never given out in any sharia court in a country where Islam isn't the state government and all of the civil and criminal laws rely on Islamic law (the ones in purple on your map). There have been a few exceptions, though. It's not the extreme punishments contained in sharia law that allows sharia law to creep into the civil courts, though, it's the more mundane that can creep into them. In Europe, if a Muslim steals from another Muslim, in an Islamic neighborhood, it will more and more likely be tried in a sharia court rather than a civil court. If the accused is found guilty (and the burden of proof is not even close to that of English Common Law) the sentence itself often violates the laws of civil sentencing, particularly those sentences are mandated by law.
What's happening initially is that parallel courts are set up to handle sharia law. It's mostly civil and family law, but the decisions, and the proceedings, often conflict with a nation's civil laws. For example, laws expressly forbidding forced marriage. Belgium has such a law, and in Antwerp the sharia court ignores that law and allows for and adjudicates forced marriages. The self-appointed Muslim judges running the court are applying Islamic law, rather than the secular Belgian Family Law system, to resolve disagreements involving questions of marriage and divorce, child custody and child support, as well as all inheritance-related matters.
Men and women are not afforded equal protection under sharia law, so many of the decisions automatically conflict with the notions of a fair trial. Often the sentences handed down are much more harsh than they would be in a state civil court, and much more in line with that we think of as justice.
Like the woman around 2/3 of the way through the video says, it's a political tactic designed to create the perception of hate and drive moderate Muslims into the arms of the extremists. Which is precisely why we should give ourselves a lot of credit for not falling into the hate trap throughout this "war".
The woman, and you and whoever else can call it what they like, but it is, nevertheless, taking place.
People hear "sharia law" and "sharia court" and they freak out, thinking all they are about is stoning and amputation of hands and beheadings and honor killings, but they're about far more than that. In many ways they are no different than the other religious courts that have been operating in the country since before it was a country. The Catholic church alone has more than 200 diocesan tribunals that handle a variety of cases. They handle 15,000 to 20,000 marriage annulments each year. Orthodox Jews use rabbinical courts to obtain religious divorces, resolve business conflicts and settle other disputes with fellow Jews. Similarly, many Muslims appeal to Islamic clerics to resolve marital disputes and other disagreements with fellow Muslims. Unlike Catholics and Orthodox Jews, however, once a sharia court is set up, Muslims tend to want to apply sharia law to non-Muslims and Muslims alike.
Disputes over the laws of various religious traditions have occasionally made their way into U.S. civil courts, but the Supreme Court has consistently ruled that judges and other government officials may not interpret religious doctrine or rule on theological matters. In such cases, civil courts must either defer to the decisions of religious bodies or adjudicate religious disputes based on neutral principles in secular law. Therefor, Muslims aren't trying to impose Islamic law on American, European or other civil courts, instead they want to set up parallel courts which bypass the civil court altogether. As long as those religious courts stay within religious and minor civil disputes, it's not a problem. It's when they move into criminal law and into adjudications which violate civil law that it becomes an issue.
In Britain a group by the name of "Muslims Against The Crusades" has launched an initiative to turn several neighborhoods and cities into autonomous Islamic areas, ruled on the basis of Sharia. The "Islamic Emirates Project" predicts that Sharia will eventually rule in 12 British cities, among them Birmingham, Leeds and Liverpool. Already in areas like the Tower Hamlets in East London (known also as The Islamic Republic of Tower Hamlets) Muslim preachers issue death threats against unveiled women and a visitor is greeted by posters declaring: "You are entering a Sharia controlled zone: Islamic rules enforced." This isn't made up.
Sure, the things happening in Antwerp and in Britain are extreme examples, and these are extreme groups with (as yet) a minimal impact on society and only have a small following of Muslims, but it wasn't all that long ago that they weren't there at all. Experimentation with Sharia law courts are underway in France, Spain, Bulgaria, Germany and the UK, in some cases with the official blessings or tacit agreement of state authorities. It bears watching, especially because in some countries, such as the UK and Germany, Sharia law has been insinuating itself into the civil legal system. So much so that various concerned groups are beginning to take notice. It's much more than merely a political tactic designed to create the perception of hate and drive moderate Muslims into the arms of the extremists. It's a way of life, a changing of he hearts and minds.
You can pretend it's not happening, though.