Not certain what the heck you mean.
1) There's currently, and always has been, a lot of group sex going on in the US.
2) It isn't currently illegal so there would be no campaign necessary to make it legal or anything.
It's more evidence that the fight for same sex marriage is the starting point. This "church" stands behind it, and multiple partner marriage.
David Chambers of the University of Michigan Law School, in an article favoring same-sex marriage, has written:
[W]e should respect the.claims made against the hegemony of the two-person unit.If the law of marriage can be seen as facilitating the opportunities of two people to live an emotional life that they find satisfying - rather than as imposing a view of proper relationships - the law ought to be able to achieve the same for units of more than two..By ceasing to conceive of marriage as a partnership composed of one person of each sex, the state may become more receptive to units of three or more and to units composed of two people of the same sex but who are bound by friendship alone.