The fact that people like George HW Bush and Hillary Clinton (who for the record, are very different from each other on foreign policy) get called "neocons" is more proof that it's a generic term of abuse by the neo-isolationists who somehow think it would be a good idea for the US to forfeit its international commitments and leadership (because obviously the world would be so much better if the only plausible alternatives like Russia and China had more power and global influence than the US!)
A big deal is always made by how the Republican party has went far right where Nixon and Reagan are considered RINOs based on actual policy positions. What's usually ignored is how the Clinton's and politicians such as Evan Bayh, Jim Webb, etc are now basically considered Republicans. Shows how dangerous everything is, idealogues on both sides are dangerous.