Is it makes it fair ?
Firstly seperate the decisions of parents, giving a name or buying clothes will not change or force a litle kid's mind, although forcing religion rituals will change their mind permanently, its not about islam or religion, just because its same in some other religions and cultures its not makes it right.
Again, show consistency. If you want to ban head scarf, you must also ban baptism, barmitzvah, yarmulkas, crosses, Sunday school, all attendance by minors in all churches, temples and mosques.
You will soon get a reality check when you do this. This facade of secularism will be globally denounced as fascism. It is only encouraged by the global community as long as you target only Muslims.
Once again, parents are given the right to 'change' the mind of their child -- it is called imparting tradition and it is universally accepted. When a child reaches adulthood, they can choose to decide otherwise.
So shall we do nothing because some people exploit the oppression of Muslim women or should we do something and simply not care about what other people from other regions say?
You are presupposing that there is 'oppression' going on. It is a circular argument to justify a fascist agenda to criminalize Islamic rituals.
What about the rights of women who choose to wear the head scarf willingly?
If it was up to me I would ban any kind of religion in public buildings/school up to a certain age, whether its the cross, headscarf or a rastafari smoking weed.
Then your actions would be denounced around the world as fascist denial of basic human rights. As I wrote above, such actions are only fashionable as long as they target Muslims. You mess with Christian or Jewish traditions and you will get a very quick reality check from the 'secular' Europeans and Americans.
Such a solution is not viable if the 'individual choice' involves something dangerous for the society.
How does a head scarf pose a danger to society?
Islamic culture (not Islam itself) terms a woman as "pious" and "true muslim" who wears headscarf. Those who don't are termed as not a good muslim woman. Thus, judgment is being done based on appearance rather than personality.
When such judgment becomes a norm, women will feel pressurized to wear the headscarf to avoid being discriminated against.
This is a very big danger for the moral fabric of a society.
It is to be noted that although Christian nuns have similar headcovers, Christianity does not differentiate or judge between personalities based on what they wear and what they don't. Thus, the Christian headcover for nuns is not a threat to the moral fabric of a society, unlike the Islamic headscarf.
All cultures have extremists who want to impose their requirements on everyone else. I already gave the example of Orthodox Jews who harassed school girls, including an eight year old girl, because her dress did not meet their approval.
Not to mention the ridiculous, artificial appearance the headscarf gives when worn by an ordinary woman. It reduces the woman's beauty to great extent, as if the women than's beauty is God's mistake.
Lots of things look ridiculous to people who are not used to them. The yarmulka or the Hassidic head-dresses look strange at first, too. To most people in the region, including Eastern Europe, a head scarf looks perfectly normal. Even the Queen of England wears a headscarf.
Nun's habits, Amish dresses or any display of modesty can be claimed to 'reduce' a woman's beauty. Not wearing a skirt and hiding one's legs can be claimed to 'reduce' a woman's beauty.