In my opinion, we are long past having enough overlap to get us there. The Tea Party is to the Religious Right what Intelligent Design is to Young-Earth Biblical Creationism; an attempt to use rhetorical smoke and mirrors to disguise a religious cause as a political one, and thereby draw allies from those with similar concerns (in this case social and political conservatism) who might otherwise be put off by the overt religious nature of the core movement.
( Look below the cut for the details, beginning with some info and articles from the last year that seem to support my hypothesis. )
So we can say this: the Tea Party certainly does not seem to be strictly libertarian, nor are its aims purely economic; they extend to social issues as well. We know Sarah Palin, the Tea Party darling, is deeply tied to the Religious Right, and so are two of the most visible libertarians, Ron Paul and the Tea Party poster boy, Rand Paul. All three, and the Tea Party itself show a closer alignment to the Constitution Party, which we can easily see has an overtly religious stance.
So what do you think? Tea Party = Religious Right? Yeah, me, too.