New conservatism is also called Neoconservatism, which can be shortened to neocon.
As for the realistic part, McCain called it pragmatism:
John McCain, who was the Republican candidate for the 2008 United States Presidential election, endorsed continuing the second Iraq War, "the issue that is most clearly identified with the neoconservatives". The New York Times reported further that his foreign policy views combined elements of neoconservatism and the main competing conservative opinion, pragmatism, also known as realism.
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