Star Trek is whatever you like and enjoy, especially when you're paying money for it. I won't say the new JJ films are not Star Trek, but I will say they're the least cerebral parts of the franchise.
A big problem for me is that they show such blatant disregard for long-established elements of the franchise (too many to mention here), and there's no need for it. Look at Star Wars VII and Rogue One - both of them fit right in perfectly with the original Trilogy (especially Rogue One), and not just in terms of story but also look and feel. The reboot films go as far as copying the uniforms, and the names of the characters and ship, and that's it. The rest is a page one rewrite, with the guy holding the reigns admitting that he never liked the series to begin with (Jon Stewart's reaction to that admission said it all lol).
The Motion Picture might be really slow, but it makes up for it by pulling some of the best characters ever created out of oblivion, for the incredible redesigning of one of the most beautiful spaceships in all science fiction, and for the score.
The Final Frontier is an insight into the mind of the actor who brought 90% of all fan's (not mine I have to say) favourite Captain to life. There's also some moments in that film where we get to see those characters being normal and/or hilarious. Kirk wearing a 'Go Climb a Rock' t-shirt under his dress uniform, is a thousand times more funny than seeing ten baby Triceratopsian aliens jumping all over him. And Jerry Goldsmith came back to score once again, and what a score.
Insurrection has a good message behind its story. Like the Final Frontier, it also contains some priceless scenes with beloved characters (being played by their original actors). The 'eternal youth' idea - reducing the effect of ageing on the body, and in many ways reversing the effects it has - was daft, I'll give you that, but certainly not to the degree of various things I've seen in the three JJ films.
Finally, The Wrath of Khan is a movie that doesn't require much brain power to enjoy (not that that should be a requirement anyway), but the way in which they go about defeating Khan was a million times better than how the JJ crew did it against Cumberbatch: Very much brains vs brawn. In TWoK, there was no need for karate moves and scissor kicks. Khan was almost defeated by Kirk and Spock outwitting him by simply lowering the position of the Enterprise in relation to the Reliant. Also, for those who hadn't seen Space Seed before seeing the film, Khan's physical strength was revealed to the audience by him picking up Chekov with one hand - not by crushing a guy's skull with his two hands, right in front of the guy's daughter.
But yeah, that's about all I have to say. Let people like what they like, and hate what they hate. Star Trek is what you as an individual want it to be, not whatever some corporation slaps its name onto. To automatically like something just because it shares the same name of something else you like, is just dumb. To quote a certain TV mob boss' consigliere: