The Pew Research Center has just released a study detailing the relationship between religion and the Tea Party.
The Tea Party, Religion and Social Issues: According to an August 2010 survey by the Pew Research Center for the People & the Press and the Pew Forum on Religion & Public Life, Tea Party supporters are much more likely than the public overall to cite "religious beliefs" as the biggest influence on their views of same-sex marriage and abortion.
Roughly half of Tea Party backers said their religious beliefs are the most important influence on their views of gay marriage (53%) and abortion (46%). Furthermore, Tea Party supporters who cited religion as a top factor were overwhelmingly opposed to same-sex marriage and legal abortion. By contrast, 37% of registered voters overall cited their religious beliefs as the most important influence on their views of same-sex marriage and 28% cited religion as the primary influence on their views of abortion.
I encourage you to read the entire piece as it also makes interesting comparisons between the Tea Party and the Religious Right.