True enough. Neocon nowadays means a war hawk or interventionist. The pre-history isn't all that relevant.
If William Kristol or John Podhoretz isn't 100% in agreement on some issues with the most conservative wing of the GOP, neither are a lot of Republicans, including many whose parents weren't left-liberals or Trotskyites.
Scratch a neo-con and there will always be a liberal under the thin veneer of fake conservatism ...