I think Krauthammer's a good guy, with a huge blind spot.
I don't, however, find the "neo" and "neoconservative" appellations helpful here. They're too often bandied about in a way that gives the impression of sinister machinations and suspicions.
"Jewish conservatives" works well enough, though we can debate Krauthammer's gun-control positions on less high-charged threads at another time.
I'm not slamming you personally, but the rhetoric is getting intense. Sometimes necessarily so, but at other times more than is necessary.