Okay, so maybe that isn't the monster from Cloverfield in the Star Trek trailer, but there really is a semi-crossover between the two movies - as well as another JJ Abrams project. They're all connected!
Talking to MTV about next year's reinvention of Gene Rodenberry's future, this exchange appears:
MTV: I couldn't help but notice the Slusho! reference from "Cloverfield" in the bar scene where Kirk first meets Uhura. Will we see other J.J.-isms peppered throughout the film?
Abrams: No. That was sort of the only one, and it was just sort of a goof.
So, let me get this straight: Slusho is part of Cloverfield, even though it never actually played in the actual movie itself, and now it's showing up in Star Trek as well? This isn't the first time that "Slusho" has crossed over between Abrams' projects; prior to its Cloverfield mention, the drink had been mentioned in Alias. I give it six more episodes before it appears in Fringe, and we discover that Walter Bishop created the Cloverfield monster back in the sixties and then forgot all about it.