So anything that does not depict a perfect universe is not Star Trek? Then I guess there's no such thing as Star Trek.
Deep Space 9 depicted a less-then-perfect Star Trek universe, one where everyone was flawed, including the Federation. Does that make it not-Star Trek? I don't think so. In fact, I think it epitomizes what Star Trek is really about, and that goes for the new movie as well.
Star Trek was always about people overcoming their differences (background, race, religion, sex, you name it) to work together for a better future. Where is that missing from the new movie? Kirk and Spock came from different backgrounds and definitely clashed, but by movie's end, you could already see the birth of their great friendship. And why? Because they overcame their differences to work together.
If you ask me, there was no dystopia depicted. It was a universe with flawed, human characters. What's wrong with that? So in the future, everyone will be perfect and we'll all stand together in one big circle, holding hands and singing "kumbayah"? We didn't even get that in TOS! There was plenty of drama and conflict, because without it, how can we better ourselves? We better ourselves through conflict because it causes us to become better then who we are.
I don't know what movie you watched, but I watched Star Trek, and its title was perfect.