Which Sharia legal system are you trying to describe here? They vary hugely in their implementation, but the common feature is relatively poor governance when it comes o protecting women and girls. India, for example, is currently riven with doctors striking over the rape and murder, and subsequent cover up by police in lived in it in a public hospital while she was at work. Honour killings are far too common in Muslim communities in my social called western country (which is by the way northern rather than western). Consanguity - cousins reproducing with cousins is a big medical problem primarily affecting Muslim communities due to the disabilities inherited by the offspring. It's an increasing burden on medical services.
But if I were generalising, what I'd say about Sharia law systems is their major difficulty is passing new legislation and updating it to modern times. Most Sharia law countries are characterised by weak legislatures and a very poor separation of powers - their legislatures aren't independent and are too heavily influenced by the executive, as are their courts. This means that their laws struggle to change and adapt to changes in society. This means that they have very low legislative output - they struggle to pass new laws which are essential to provide guidance to society as it naturally changes over time.
I previously mentioned that I'm from the north, not the west. I am almost certainly far closer geographically to north Asian nations than you are to English speaking countries. I grew up on a small island which is actually fairly strict in terms of religious observation and moral codes. It was only really that In the 21st century that it's been possible to do some things on a Sunday, for example. In no way would society there work if women had to ask their husband or make relative for permission to leave the house. The concept is disrespectful to both men and women. Women tended to run the farms while the men were deep sea fishing for weeks at a time.
For you to suggest that hard working people are corrupt due to western society shows up your racism. For centuries here, women have had free choice over whom to marry. No arranged marriages. The usual method is that the young man would, along with a friend, arrange to visit the young lady at her parents home. If she liked him, she would engage him in lively chat and invite him to stay for the family dinner. If she didn't like him, she would leave his friend and the rest of the family to engage with him. A very safe, respectful system. What I see as a woman from so many Muslim men who have moved to my country (and all of the ones who contact women over the internet, unasked for) is that they are not respectful to women. In my culture, a man must traditionally be introduced to a woman by his family or by mutual friends. It doesn't require the force of law or male relatives' permission because it's a social convention. People will think you are an idiot if you don't follow it because it means the man is disrespectful, badly brought up and quite possibly dangerous to be around. Some may differ, but many still.follow this as a guidance to find a suitable partner. Because it works.But of course if the husband or wife is abusive, or badly behaved or they don't get on, they are free to divorce. You really think it's better for a child to be brought up in a marriage where the man hits the woman and the child sees that most days? That's madness. If course the woman should be free to divorce.
But Muslim men want our money! So they keep contacting us without an introduction over social media. If course, it's a complete joke, only the desperate would actually respond to a stranger. But it's always Muslim men. They are pathetic. They all want to move to Norway because they realise they would have a better life here ie more freedom but mainly more economic prosperity created by our hard working previous generations.
But you know nothing of the traditional values of much of what you term "the west", only the lazy stereotypes you want to believe and which you like to think is normal because it suits you and the poor moral boundaries you have particularly in relation to women and girls., as a result of typical Sharia law systems inability to pass modern laws as society changes.The fact that, as an adult male you haven't even worked out that it's the majority secondary sexual features that have to be covered up outside Muslim countries. Nothing to do with women's hair. Even the way you write is disrespectful-"wanna,""gonna", etc - people her will just think you are an uneducated idiot because you don't even have the discipline to be polite to strangers.