Actually Islam "liberated" them in so many ways that their lives are even bettter than Non-Muslim women! Or so they say...
Even some Gallup polls seem to agree - Muslim women complain about the bad economy and high unemployment in their respective countries and don't mention abuses when asked what bothers them.
On the other hand those of us who lived in Muslims majorities at one point in time tell disturbing stories which do not match the descriptions given by many Muslim women.
Why the discrepancy?