The side with the majority ends up being what is called "standing law". The minority writes a "dissent" - saying we think the law says X, Y or Z. At no point does the culture of the law decree that the other side is wrong, it's not terribly edifying in that regard.
As Roe vs Wade teaches us - just because an opinion is issued dosent mean the issue itself is settled culturally.
This could accrue to your advantage or mine...but I'm afraid that if your looking for "closure"...neither side is going to find it at the Supreme Court.
And considering the way the issue of marriage for same-sex couples in trending in society- with 70% of those under age 30 in support- any signifanct opposition to a court opinion affirming our right to marry will quite literally die out over the next generation.
It's only a matter of time.