IIRC, that ship was the USS T'kumbra.
Personally, I don't like the message that things like that send. The United Federation of Planets is supposed to be a inclusive, democratic government that values diversity. The very idea that ships would be crewed solely by one species is troubling.
It has been long established that Earth, Vulcan, Andoria, and Tellar founded the UFP. They bound themselves together in the hope of a better future.
IMO, the only movie that came close to showing the diversity of the Federation was ST: The Voyage Home.
The scences of the Federation Council show a VERY diverse group, including all of the races I list above and more. If the government is diverse, why can't Starfleet be?