Actually, you are giving the so-called Tea Party too much credit.
If you look at the voting numbers: Washington Post summary, you will notice that the republican leaders were 7 votes short. Of the republicans voting against, there were 12 republicans endorsed by the tea baggers. So in this respect you are correct. But if you look at the whole Tea Party fraction of the republican, i.e. all republican house represenativies endorsed by the tea drinkers, only 11% voted against. That is exactly the percentage of all the republicans that voted against extending the provisions of the patriot act.
This shows two things; the so-called tea party is just the republican party when it comes to this particular vote and probably on much else (even though the tea party candidates are maybe on average somewhere more on the extreme right). It seems that Tea Party is just a renaming of the Gay Old Party which voters for a good reason is a bit tired off. The other is that the democrat party, where 65% of the house representatives voted against this, is the party that care for your civil rights. The republicans leadership acknowledge as much by trying to blame the democrates by quotes like: "Democrats in Congress voted to deny their own administration's request for key weapons in the war on terror," .
In a very hypothetical thought experiments, if all the tea party endorsed candidates had failed against democrates, and the same voting pattern had taken place, there would have been 193 votes against (i.e. 45 more votes) and one would be quite close to a majority of the house representatives against extending this law.