I doubt it. From what I've read about the Westies, they could barely be considered a cohesive gang. The name was given to them by the newspapers after all. It seems like there were a few moneymakers like Coonan and a whole bunch of heroin junkie leg breakers.

As for the Winter Hill Gang, they definitely seemed more organized compared to the Westies. Like JC said, Whitey doesn't seem the type that would expose himself to a bunch of loose cannons.