If they tell you that many gay people can change enough to enjoy a heterosexual marriage, they are telling the truth. But beware of those who make heterosexual marriage a goal or some sort of test of faith.And this is a good place to point out that a homosexual orientation does not make anyone any more sinful or "abominable" in the sight of God than a heterosexual orientation. ) We are all born sinners (Romans ) with a heart that "is deceitful above all things and desperately wicked." (Jeremiah 17:9) All except Jesus.He calls us to the same path, saying to all who would follow him, "Take up your cross daily, and follow me." (Luke ) It's one of the paradoxes of the gospel that we find joy and happiness by giving up our own way and submitting to His.
And His way was the way of self-denial: He came not to do His own will, but the will of Him that sent Him (John ).
(See "About Change Ministries" and "Change Ministries Revisited.") So, I don't consider that a viable option for most homosexually oriented Christians, except as a way to meet some dedicated, like-minded Christians and learn some coping methods.
(And you will meet some fine, dedicated Christians there and could possibly make some life-long friends.) We don't know of any change ministries that we could personally recommend.
Gay and lesbian Christians often believe they have only two options -- either to submit to change therapy in order to become "heterosexual" or to join the gay world in indulging in gay sex.
But this either/or argument is one invented by the devil himself, I'm sure, because attempting either option can result in a kind of slavery. The Good News is that Jesus came to give us freedom!