I am a Muslim convert, but happily atheist (as is DH) and whilst I agree that there is plenty of discrimination and unfairness in Islam (as in all Abrahamic religion imo) it's not as simple as it's being portrayed here.
When I visit my DH's home country, by law, I have to cover my hair and head. (Usually I do it on the plane). Most "local" women wear the scarf sort of "notionally" ie they drape it over the back of their head while showing hair front and back. I have to make sure every tidbit of hair is covered because the morality police see I am a western woman and make a huge fuss. I have also been bollocked for lifting a long skirt up to my ankles in order to negotiate some steps, when heavily pregnant. Equality?
My SIL was arrested because her clothes were too tight. (She had gained weight). She had to wait in the police station until a male relative could bring her "suitable" clothes. My FIL is dead so that meant dragging her uncle from the hospital where he works to protect her "modesty".
There may be a free choice (or something approximating it) for women in the UK but let's not delude ourselves that it's a free choice for women in countries which operate under Islamic law and mandate the hijab. I feel that hijab-wearers talk about choice but by their actions condone these practices,. That alone makes me deeply concerned about the tendency to adopt the hijab amongst very young Muslim women. It implies an acceptance of the type of forced practices described above.
Incidentally I converted to Islam because as a non-Muslim wife of a national I have no standing under (DH's country's interpretation of) Islamic law. This means that if DH dies, I have no rights to inherit and neither do my DC. I have no say over what happens to his assets - they will be dealt with by the closest male relative. I have no rights over the care of my very poorly MIL who needs 24/7 care and is vulnerable. So I had very little choice other than conversion, even though we are both atheist, eat pork, drink and never go to mosque. 
I find my trips to DH's country massively disempowering and I am afraid I laugh hollowly when people try to convince me that Islam means equality for women. When Islamic law applies to everyone, it just isn't. That isn't to say I approve of little girls in bras and bikinis either, but in countries where the hijab is mandatory then yes, ime women are very much second class citizens and non-Muslims are worse.