That's what the Saints said when told they would end polygamy or else: they ended polygamy.
That's what the Saints said when they insisted on the race policies in the Church that debased peoples of color, particularly those of African descent: they ended such policies.
I can give you several instances when the Church said "nope, never" yet changed.
This too will change, but it will take time. The women are more likely to receive the priesthood ordinations before the hate against the children of LGBT ends.
We believe in obeying the law. And we fought for our constitutional rights to worship as we could until the courts said we had none. We submitted to the law.
Policies on priesthood changed long after pressure to change them ceased. In fact, it was the growth of the Church in Brazil that probably influenced it the most. But as that was a fulfillment of prophecy that's been around since the Church began, we knew the change would come.
Gay marriage is contrary to the commandments of God. It's not going to change even if we could. The Lord wants us to be sealed eternally with our Spouses. Became Eternal Life requires an eternal family. Same sex couples cannot reproduce. They cannot create an eternal family. It's physically impossible for them to do no matter how much they want and desire it.
This will not change because people protest, boycott, or rage. Any more than the laws of gravity will change if we do such a thing.
You're upset not with the policy, since it's the same policy in place with polygamist families. Your upset because we are making it clear we will not stop declaring sin to be sin. And the powers of hell may rage against that, but it won't change the truth. And it won't make people happy in sin.