Human nature and humans actions have not really changed in 200 years. I don't find it hard to believe that in 200 more years the nature of people will not seem that unrecognizable to us (nor us to them).

Exactly. Which is one of my primary criticisms of TNG. If you believe the dialogue of the characters all of a sudden human nature dramatically changes with poof a few new gadgets and inventions like the holodeck and replicator technology.
It's preposterous to think that all of a sudden humans would abandon our selfish ways and as Picard said, "work to better humanity."
Abrams vision of the future is far more realistic than to a lesser degree Roddenberry's TNG was and/or Bermans.
Well its true that humans need some sort of motivation in their lives (that's the nature of the universe we live in) but some people already find that in the feeling of "a job well done" etc. Perhaps our descendants have found ways of encouraging or directing most of us towards that form of impetus.
I am not sure that a hundred years between TOS and TNG is "all of a sudden" and TOS itself showed some general improvement in social behaviour and attitudes. Or at least it used to. And as I say, it may be humans have found a way to channel their selfishness in other ways. Altruism is an indirect form of "selfishness" after all.
If you are wondering why things might be different in the future than they "always have been", we need only observe the significant improvements even in the social sciences. I don't believe it would require a crystal ball to anticipate that we have yet to see the most important benefits of that.
Then too there is certainly a massive amount of room to improve general human behaviour via better socialisation. One impediment to that is the very idea that you can't change "human nature". But things do seem to be changing slowly anyway, luckily.