I think most neocons want their own country to become more aggressively involved in the world. Wanting other countries to do the job sounds more isolationist to me.
Wanting one's own country to be more aggressively involved in the world sounds more like imperialism.
I guess neocons want the world to be policed, and if somebody else is willing to do that for them, so much the better.
We aren't hostile to Britain or its interests, and they usually participate in what we do, giving them a role in the world at little cost to themselves.