5 Anti-gay Religious Groups File Brief To US Supreme Court

They are:

• U.S. Conference of Catholic Bishops
• National Association of Evangelicals
• The Ethics and Religious Liberty Commission of the Southern Baptist Convention
• The Church of Jesus Christ of Latter-Day Saints
• The Lutheran Church- Missouri Synod

These group's are calling for the court to make a decision (in their favor of course) on same sex marriages.

In this brief, they adamantly state they don't hate homo's or have any ill will toward them:

Utah’s case provides an attractive vehicle because the Tenth Circuit (following the district court’s lead) rejected spurious allegations of voter animus. The court of appeals sensibly held that “[o]ur conclusion that plaintiffs possess a fundamental right to marry and to have their marriages recognized in no way impugns the integrity or the good-faith beliefs of those who supported Amendment 3.” Pet. App. 75a; accord id . at 89a-90a (“Not surprisingly, the district court resisted a finding of animus. . . . That was undoubtedly correct.”) (Kelly, J., concurring in part and dissenting in part). In granting Utah’s case, this Court will not need to address the inflammatory and unjust accusation that the support of religious organizations and their members for traditional marriage is rooted in prejudice or animosity.

Yet, in the next paragraph, they state:

The Tenth Circuit’s religious-liberty analysis rests on a serious error. Easy assurances in dicta that the court’s decision “relates solely to civil marriage,” that “religious institutions remain as free as they always have been to practice their sacraments and traditions as they see fit,” and that religious communities still have the right “to define marriage according to their moral, historical, and ethical precepts” vastly underestimate the legal and social conflicts that constitutionally mandated same-sex marriage will unleash. Pet. App. 70a. Judicially redefining marriage powerfully conflicts with religious liberty because, among other reasons, such a dramatic change in the law inevitably will lead to “forcing or pressuring both individuals and religious organizations – throughout their operations, well beyond religious ceremonies – to treat same-sex sexual conduct as the moral equivalent of marital sexual conduct.” An Open Letter from Religious Leaders in the United States to All Americans, Marriage and Religious Freedom: Fundamental Goods That Stand or Fall Together The risk of a new wave of litigation targeted at religious institutions cannot be brushed aside on the ground that “such lawsuits would be a function of anti-discrimination law, not legal recognition of same-sex marriage,” Pet. App. 71a n.13, when judicially-mandated same-sex marriage can itself be cited to justify enforcement or enactment of anti-discrimination laws that limit the rights of religious conscience.

Definition:  If the court decides in favor or SSM, then they should grant a religious exemption so Christians can show their disapproval by being able to deny public accommodations and services to homosexuals based solely on religion based animus. 
Not one of these groups can point to a single church or minister/priest/preacher being *forced* to participate in a SSM...not one.
So why do they need a religious exemption?
So they can continue to freely attack and oppress homosexuals...like they've always done; after all, it's part of their tradition isn't it?