I don't know how I exactly feel about this but since Saudi Arabia has a highly conservative and religious culture, Sharia law is implemented and many people including polices, kings etc are heavily religious people and they strictly follow Islam. In Islam, women have certain rights and permission to do things that men don't, and men can do certain things that women can't. The reason is obviously because men and women are different; they have different needs, a different nature and they have different roles in the family, community, society and nation as a whole which is pretty obvious and clear to our senses. The reason as to why women should stay at their homes is mainly because that if a women goes out; it could lead to evil consequences such as: being alone, reckless mixing with men, being sexually abused by someone, losing modesty and committing actions which are not allowed in Islam and are considered haraam/forbidden.
In my point of view, I believe that it shouldn't be banned because If a women drives a car to sinful places it is her own sin, but for us to make it forbidden in general seems not right and further more, in cases of necessity such as women who have to go out for work and they don't have a husband, father, etc they need cars to travel to their work places and there could be extreme emergency cases too. Although, there are some means of transportation which I don't really consider them reliable. On the other hand, I can't really comment on the situation with Saudi woman as it's very different there and SA has it customs, Islamic laws, cultural norms and they should be respected nonetheless.
