Women do not automatically get cusody.
False.
Unmarried Mother's Primary Right To Custody
The unmarried mother is presumed to have the primary or natural right to custody of children born when she is not married. Therefore, she has the legal right to custody, care, and control over the child and her rights are superior to those of the father or any other person.
Source: http://www.legalmatch.com/law-library/article/child-custody-between-unmarried-parents.html
I will not repeat my point one more time. If you want to believe something that does not happen, you are free to do so.
There is no need to repeat your point since it is false.