I’d say the difference, besides culture war bullshit, is that neoliberals see western military imperialism as the global police, whereas for neocons they see it as a tool for their right-wing Trotskyite project. Which often is a distinction without a difference, but just that the rationale aren’t the same. Neoliberals need to be convinced that there’s some injustice they’re going to rectify, neocons simply see not being aligned with Western hegemony as a good enough reason to swarm invade and speed run turning the country into bourgeois democracy.