Actually, I feel the opposite. I feel like Abrams' movies are bringing us back to the adventure and slightly dark tone of the original series - womanizer Kirk, fighting, chasing, phasers, monsters and villians! The updates to the ship and technology don't bother me, because it's not about the future as seen from the 60's, but rather the future of now.
That reminds me more of NEXT GENERATION, which I found a bit too P.C. I'm okay with that show, but not that attached. Yes, the original series did hit on those points - first interracial TV kiss, women in command positions, multinational crew, etc. But, that was usually a backdrop to the tale and not forced down your throat. They didn't focus on Chekov being Russian; he just was.
The original series was very much a product of the cold war. You would see Kirk infiltrating Romulan and Klingon strongholds. The humanoid races were barbaric, while higher intelligences, like the Metrons and the (cue the Information Society music!) "Da da da, duh da da da...Pure Energy" aliens would occasionally show up and remind us about how far we had to go. Yes, they survived World War III, but the show was about the illogical and flawed human condition. Cue NOMAD's sterilization of imperfect lifeforms.
I really enjoy a good drama, like "The City On The Edge Of Forever," where Kirk travels back in time and falls in love with Joan Collins. The message of that episode was that a pacifist thwarts America's WWII ambitions and we fall to the Nazis. So, they had to let her die! Rather deep and conflicting.
The original series had some reeeeaaally dark moments that I'll never forget. I enjoyed the episodes where the stakes were raised and a lot of security guys got offed,

whether being melted by the Horta ("Devil In The Dark"), disintegrated by Vaal's lightning ("The Apple") or speared by giant ape monsters ("The Galileo 7"). Pretty cool video, here:
https://www.youtube.com/watch?v=M3cL1Aofy90
But,..........the very best thing about the original series were those moments of conflict and humor generated by Kirk, Spock and McCoy! I so loved that and the 2009 STAR TREK did that the better than any other movie or spin-off series! Kirk cheating and beating Spock's test, using the elder Spock's advanced knowledge to get back on the ship and elicit young Spock's deep emotions to make him "lose it." That was the stuff I most enjoyed. The new plot was a so so rehash, but the character interaction and pacing was brilliant.
For about 20 years, I have imagined doing an updated STAR TREK with the young version of the characters on incredible adventures. I hate that Abrams beat me to it, but I love what he's done, so far.