In Mumbai you can ofcourse roam feely in the road after 11'o clock.
I had found , the Dubai similar to Mumbai with some incidents here and there. there are cases like girls from bars picked up gang raped and left in deserts.
There exists a big differnce when it comes to Govt. offices and police dept. Dubai, Oman police are really helpful. i dont say much about Kuwaitis. KSA i never been to and dont want to