Ironically, talk therapy in conjunction with HRT. Homosexuality is recognized as an obsessive compulsion brought on by trauma leading to indiscriminate erotic targeting. So they prescribe hormone therapy to knock down the patient's testosterone level and have him talk through his sexual trauma.
This, you'll recognize, is the same protocol for transgendered "care": talk therapy and HRT. Why is one illegal while the other is pushed on children? Well, the one that is illegal cures a patient of a behavioral pathology and extends his life while the mandatory one drives the patient further into psychosis and self-harm.
The archive link is in Swedish. The actual paper is behind a paywall. Anyone have it? I can only find snippets but it looks like they are shrinking these guy's dongs.
On the point, coincidentally these studies ceased when the DSM III was published.