Oh, by the way, the Tory Party is the nickname for the Conservative Party, they are the same thing. I tend to say 'Tory' when speaking to Americans because the word Conservative has a lot of baggage and gives the wrong impression.

As far as I can tell, the Tory party is in about the same place on the economic spectrum as your Democratic Party, or only fractionally to the right of it. There isn't really any British party as far right as the GOP. We do have some people who describe themselves as Libertarians who are about that far right, but they don't have an organised party.