Homosexuality could be cured, I think. If it's something in your genes, we can change that. (Based off of recent research.) If it's your choice, we can change that. If it's something that's been put onto you, we can change that.
Does that mean I want to change it? No. I think it's perfectly fine.
The question is (should a cure ever happen), would this be pushed to governments as a mandatory procedure by places such as the church?
What? Why do you think this would push a mandatory procedure? If you're schizophrenic, a serious psychological disorder, you're legally allowed to refuse treatment. Only when you become Dangerous are you committed (sent to a hospital so that medication can be forced upon you).
Why would homosexuality, a significantly less dangerous condition, be any different?