I would say Millar is much closer to "wanting" to be Moore in that case. Millar has a big thing about heroes in the real world, though he's far more...playful, I guess is the right word, about it than Moore ever was.
Moore only wanted heroes in the "real world" for a small amount of time in his career. Now he parades around the belief that 80's gritty movement and 90's EXTREME has pretty much killed comics. His own League of Extraordinary Gentlemen
is a refreshingly light adventure.