I'm quite certain any research into sexual / gender identity genes would reveal not only that their is no one repressor, co-activator, or protein, that causes a cascade to define an individuals sexuality or gender, but also that the developments made in utero were largely synonymous with that of people of all sexual / gender identity. Which is to say, it would result in a procedure to affect any and all sexual orientation, gender identification and others besides development, or more likely, result in nothing at all.
Would I support research into this? No, it'd attract the wrong sorts of people, be a waste of resources and time to address a non issue, and not accomplish more (or even as much) as the wider spectrum research into neurological (physiological) and psychological cause of human behaviour and identity, already does. Further, it'd send a, maybe unintentional, but powerful message that sexual / gender identity is a choice, and that there are some which we consider undesirable. Work towards sociological change to normalise all sexuality and gender identity, is not only likely to be the most effective change we can make, but also the most beneficial to us all.
Would I like to live in a future where you could decide exactly who you wanted to be, in every facet, and those changes be nothing more than a simple, at home medical procedure away? Sure, that's some crazy cool sci-fi shit, who wouldn't want that? We'd need to get our society to a place of enlightenment before this is really desirable though. The awful things humans would do to each other with this technology now... I shudder to speculate. Humanity's universal sociological philosophies, and broad understanding of ourselves, need to develop substantially.
And yes, "cure" was incredibly insensitive.