The two systems have some philosophical differences - one is a partly-diceless investigation game, the other is made to work well with quick miniature combat. Both do have a similar scale of difficulty numbers, though (default average difficulty roll is a 4 in Gumshoe, and it goes up to 10 or more for insanely hard rolls). Character stats are very, very different, though. Gumshoe uses very old-school hit points while Savage Worlds characters survive on their Toughness and stock of Bennies. And so on.
Still, much of this campaign is going to depend on the story and the clues, and those should be easily usable in both Savage Worlds and Gumshoe.
