It seems that some of our U.S. Bishops had some kind of meeting recently to discuss this issue, as this related article about Cardinal Dolan (link above) says "Despite the appeal for inclusiveness, Dolan said the Church is unlikely to reverse their position on same-sex marriage".
(Please keep in mind, however, that the source here is NBC, which is certainly not the most reliable news source in the world. I hope that what Cardinal Dolan actually said, or what he actually meant to say, was that the Church IS NOT GOING TO reverse their position on same-sex marriage!)
As the Bible says,
Do you not know that the unrighteous will not inherit the kingdom of God? Do not be deceived; neither the immoral, nor idolaters, nor adulterers, nor homosexuals, nor thieves, nor the greedy, nor drunkards, nor revilers, nor robbers will inherit the kingdom of God. 1 Corinthians 6:9-10(St. Paul is referring to unrepentant sinners who knowingly and willfully persist in their sinful behaviors. Love the sinner, hate the sin.)
And that's the danger. Not that the "teaching" will ever change (you'll always be able to find it in the internet-searchable Catechism) --- but it will simply be a dead letter. Nobody will say anything. Like nobody says anything about contraception. Silence conquers all.