Conservative Democrat
After 1980, the Republicans became a mostly right-wing conservative party, with conservative leaders such as Newt Gingrich, Trent Lott, and Tom DeLay, while the Democrats, while keeping their core liberal bases intact with such Senators as Ted Kennedy, Christopher Dodd, and Paul Sarbanes, grew a substantial moderate/centrist wing, the New Democrats, in the 1990s in place of their old conservative wing, with leaders such as Bill Clinton, Al Gore, and Evan Bayh. In the 2010 midterm elections, many conservative Democrats lost their seats to the Republicans.
Centre-right politics
Centre-right politics or center-right politics (American English), also referred to as moderate-right politics, are politics that lean to the right of the left–right political spectrum, but are closer to the centre than other right-wing politics. From the 1780s to the 1880s, there was a shift in the Western world of social class structure and the economy, moving away from the nobility and mercantilism, as well as moving towards the bourgeoisie and capitalism. This general economic shift towards capitalism affected centre-right movements such as the British Conservative Party, that responded by becoming supportive of capitalism.