"Secundus Trek."
Okay, maybe not.
It occurs to me that as the script refers to Nimoy's Spock as "Spock Prime" and Quinto's Spock as "Spock," that the universe of the film should simply be called "Star Trek" with no suffix. The suffix "Prime" has now been appended to pre-movie
Trek. Quinto is simply "Spock." Pine is simply "Kirk." The movie is simply
Star Trek. Shatner is now Kirk Prime. And so forth. I think the distinction now is that the film is
Star Trek, and the 1966 series is
Star Trek Prime.
Of course, I don't expect anyone to accept that logic. There are probably people ready to pelt me with rotten vegetables as I type...