@Glennn,
There is a basic contradiction in your argument, Glennn. I am trying to help you see it... but maybe you already do (and so the exercise is moot). You have stated that you, as an American woman have what you call an "innate understanding" that you admit that women in these African countries don't have. It seems that you meant the term "innate understanding" to mean an understanding that everyone regardless of culture would have.... hence the contradiction. But let's move on.
I am not exactly equating a cutting off of a part of the penis with the cutting off of the clitoris. Although, from my limited understanding, there are different forms of the procedure some of which don't involve the removal of the clitoris. I don't know if you would put that procedure in a different category.
But sure complete removal of an important part of sexuality is drastic. I have conceded the point... you and I agree completely on this. Since we were both raised and taught in the same cultural context, this is not surprising.
I will answer any question you have. Your latest question is "Whether or not girls between infancy and 15 years old want to have their 'genitals mutilated'.
Here is the answer (clearly and plainly)...
Obviously an infant doesn't have a say in any procedure whether male circumcision or female. All you can do is wait until they grow up and then ask them.
The 15 year old girl obviously does have a voice of her own... and I know of at least a few well-publicized cases where girls have run away, not wanting the procedure done. I suspect, based on my knowledge of how cultural rituals work and having read the voices of many adult women who have had the procedure done and think it was a good thing... that there are many girls who do want the procedure as part of a ritual of growing up and being part of their culture.
There are several cultures, including the Masai in Kenya, where young teen boys are forcibly circumcised... their foreskins are cut off by a group with no anesthesia when they reach the age of adulthood.
When you are brought up in a community, you are inculcated with the values that community and you form your identity based on what you are given from the people you are close to and the rituals you participate in.
This is how we work as social animals. So to answer your question, I suspect that most of the young men and women who go through these painful ceremonies to become adults and members of the community and the culture they are a part of... find this something that they want to do.
Of course neither you or I have any way to know, we are just speculating. The way to understand this better is to go and talk to the women who have had the procedure done, and who value it.
They are the only one who can explain this to you.