The news I have seen associates the tea party with republicans, who are 'right'?I think what you say about the distribution of parties left/right is correct, though I don't understand why you don't think the Tea Party is naturally rightist.
In the Uk the right wing is supposedly the conservative party and the left labour. But the right are often quite hot on civil liberties issues, perhaps because they see them as personal freedoms for themselves. Anyway, I regard this inclination as 'left'. Obviously the US tea party is a side issue to the UK media, but what I have seen suggests some of the grass roots followers are interested in this same kind of personal liberty. I got the impression the alignment with republicans was partly fortuitous because the Tea party believed in less government intervention while the republicans believed in lower taxes, and the two at least are not contradictions. Then, a number of people seem to have hijacked the fundamental notion of rebellion expressed in the tea party and grafted on various demands which i would regard as extreme right.
In the Uk they went to liberal and labour lost the election. Any US parallel?Well, those Lefties have nowhere else to go.