You're not gonna be giving Coyotes a bad day without a lot of work and money. Supercharger or 125 shot at a bare minimum just to go party. And should that Coyote have a few bolt-on's and a tune, forget it.
3.7's aren't difficult though. They perform fairly close to these cars. Gears (I like 4.10's, but do your own homework there), a few of the right bolt-on's and a tune should be enough to keep a comfortable lead on those cars.