It's not just the religious that want to cure it, a lot of people do. And I'm sure there are some gay people who would like to be cured too who would become the focus of legal conversation about how "people should have a right to be cured". In the western world, there is at least one barrier stopping that... and it's that homosexuality is no longer an illness in any medical text. You can't "treat" something that isn't a disease. If it turns out that homosexuality is gene, which looks unlikely, then it would be genetic engineering to change it. I personally know what causes homosexuality (in men, women are different), with 99% probability, but I will keep it a secret until the day I die.
The hormone thing has been tried to death. When you give gay men more testosterone, their sex drive goes wild because the excess T gets immediately converted to DHT (and estrogen, in some men). T makes men more willing to engage in risk taking behaviour. Men with higher T are "braver". So all it does is make men have more promiscuous sex with other men. I would know, during my remission periods from illness my T tends to be above normal and has been for years, and my sex drive gets intense. It doesn't turn me heterosexual, it just annoyingly makes me want to have sex all the time and consumes needless attention from my life.
Funny historical note... the U.S. military once investigated the possibility that they could drop a substance on an enemy population that would turn them gay. In enemy soldiers that are extremely religious, like Muslims, it would cause confusion, dissension and violence. After investigating, they found out that it was impossible. The U.S. is fucked in the head.