It's too soon to register it's impact. The test will be if it hangs on in the public mind or the average Joe and Jane go back to identifying with TOS and to some extent TNG as Star Trek.
That's actually an easy check to make.
Big Bang Theory continually makes jokes about TOS, with Shatner, Nimoy, etc. The new movie had
one joke, where Sheldon missed the movie due to being in the arctic. So, your 'pop culture' reference here in the one 'magnet' for such things has an anemic showing. It certainly didn't overwrite TOS in many people's minds, and wasn't meaty enough to stand on its own past the release.
But keep in mind that's fine from Paramount's point of view. Star Trek was a
popcorn movie which got a lot of butts in seats, and I'm sure the sequel will get 70 percent as many like it's supposed to. But as a popcorn movie, it wasn't going to attract a big and
loyal following like what we've been familiar with with the Star Trek franchise.