Hans Zimmer would not have used the Alexander Courage theme, though. He would have insisted on creating his own work, saying "to distinguish this film from all the rest" or something like that, when really he'd make something that would sound too dark and pretentious for Trek, with too much electric percussion and overproduced brass.
As much as the Alexander Courage theme, particularly the Star Trek "fanfare" is considered an integral part of the Trek's musical identity, I kind of wish it was left out of the Abrams movies. These have created their own musical identity with the "Enterprising Young Men" tune and its variations, and the Courage theme just doesn't fit in with that. It's as bad as the TOS-like uniforms being used even though they do not fit with the lineage of any of the other Starfleet uniforms used in the movies.
Nostalgia is fine, provided it fits organically. Not when it's ham-fisted. But then, ham-fisting is the only thing the Abrams movies are really any good at.