What type(s) of conservative thought? Traditional conservative (small government with limited powers, low taxes, strong support for civil liberties and civil rights), Neo-Conservative (low taxes, low regulation of business, very powerful Presidential government, little respect for civil liberties, imperial foreign policy), Social Conservative (the government should regulate private lives to ensure everyone follows moral standards)...? (And this isn't even touching on the European varieties of conservative which can be much different from any of the American varieties.)
It's an American conservative group, and encompasses various types of American conservative thought.