No doctor in the world would perform gender reorientation on a little kid. besides gender reorientation starts around 1,000,000 dollars. There's something fundamentally wrong with just the idea of that.
Actually, gender reassignment of babies and young children used to occur, and perhaps still does occur, far more frequently than you might think. In cases of intersex patients with "ambiguous genitalia," the child was sometimes surgically "adjusted," and sometimes even reassigned to be (what the obstetrician or surgeon considered to be) the "more appropriate" gender. See also:
history of intersex surgury (Wikipedia).
In the 1960s, John Money, a pediatric psychologist in the "Psychohormonal Research Unit" at Johns Hopkins Hospital in Baltimore, was making a name for himself claiming that
gender identity was primarily developed as a result of social learning in the child's environment, and that said gender identity could also be changed.
Dr. Money was perhaps ultimately most famous, or
infamous, for the horribly tragic case of Bruce Reimer, reassigned to be Brenda Reimer by Dr. Money, due to a circumcision that had ended up being an essentially complete cauterization of the organ in question.
The Reimer case was of especial interest to Dr. Money, no doubt, due to the fact that Bruce had a twin brother. From a Wikipedia article on the case:
For several years, Money reported on Reimer's progress as the "John/Joan case", describing apparently successful female gender development, and using this case to support the feasibility of sex reassignment and surgical reconstruction even in non-intersex cases. Money wrote: "The child's behavior is so clearly that of an active little girl and so different from the boyish ways of her twin brother."
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"Brenda" Reimer, however, never fully adjusted nor identified with her gender assignment, a fact which John Money concealed from the scientific and medical communities and perhaps even from himself. This, despite the fact that (or perhaps even because of the fact that) ... the alleged success of his theories was having some impact on actual medical practice.
Eventually, this lack of adjustment resulted in such a degree of suicidal depression during the teenage years that young Brenda was finally informed of the actual circumstances of her anatomy by her parents. Brenda subsequently opted to become
David Reimer, and attempted to both surgically and hormonally undo and reverse the years of "progress" in the other direction.
Needless to say, when someone has been subjected to as much medical and psyche intervention, co-option, and coercion as this poor guy was, this story did not end well.