Apparently, the agenda of the polygamists is to push for legalization of polygamy using all the case law supporting gay marriage and striking down anti-sodomy laws. From most of what I have read, they will be happy if they just get decriminalization and can live their lives without fear of prosecution for engaging in what they believe to be private consensual acts between adults. I suspect that they will want legal recognition of their plural marriages once they get decriminalization, though.
This group is a non-mormon christian polygamy group that claims to find support for their beliefs in the bible (not the book of mormon):
http://www.truthbearer.org
They advocate what they call consensual, non-abusive polygamy.
I believe this group is a mormon group and they are announcing to the world that polygamy is the next civil rights battle and they believe that lawrence v. Tx is a tool in their arsenal to use to de-criminalize polygamy:
http://www.pro-polygamy.com/
http://www.pro-polygamy.com/articles.php?news=0013
They think that the MA court decision supports their arguments for legalizing polygamous marriage:
http://www.pro-polygamy.com/articles.php?news=0012
