Faulty assumption bolded.
That is what you think. You only see news. I meet everyday a lot of people who just happen to have the Islamic faith. Most of them are loyal to their faith but are also westernized. Most of these people have never committed any crime, are loyal tax payers and carry no anger towards any one. As with any other religious person they openly talk about their faith but do not force people into it. If you behave respectful and honest, religion is not a separating force. Most Muslims, atheists, Christians, Jews, Hindu's or Buddhists have a simple view on life. Pay the bills, pay tax, save money for the future , have children, own a house and a car, send the children one day to college to improve upon life, help out people in need, live in peace.
This means that these people will not side with extremists but will fight for the freedom they are used to experience in the western world. For example many women wear a scarf that shows hair but also show modern clothes. Meaning clothing that extremist would kill them for. For us in the west this is pretty decent and for most people who are religious this is still very conservative. For religious extremists this is already to much. It is only Anti-social people (Religious extremists and atheist extremists) that cause problems.
Some examples that you might see women in (with or without scarf) and still pretty conservative but very decent :
On work :
More casual :
Of course there are also people around who are more conservative but these are the older people or people who just migrated to the west from a very conservative(in religious context) environment. It takes time and devotion by people who are already used to the western way of life.
Of course some people go back to more traditional ways of life but that is because they fear for the lack of class that slowly crawls into the western world and revert to traditional views (This also happens in the US and in Europe as well with Christians and Jews). What is the reference point ? That is the question. It is not a constant it slowly slides along with what is perceived as classy and decent in society.
It actually happened to me that one day in the train some young woman was wearing a coat, stockings with boots and no skirt or pants. It was more a mixture between hot pants and a string she was wearing. And she was wondering why men looked so strange and horny at her and women looked at her in a disapproving way. Finally she called a friend complaining on the phone that everybody was looking at her. What did she expect. It is the same as some guy needs attention and being an attention whore by dressing up as Mr Manhattan (from the watchmen) with a huge giant dildo attached to his crotch.