They were annoyed since the new movie ripped off of Star Trek: The Wrath of Khan, in some cases in fact simply switching characters and re-enacting scenes. I found it funny; my parents hated it.
Now, I'm a huge Trekkie. I know a lot about it, I speak some Klingonese, and I wore Vulcan ears and a Starfleet science/medical shirt (Original Series) to the showing of Into Darkness.
My parents are fans too (how do you think I was introduced?), yet not as big of a fan I am. Let's consider the fact that I own 88 Star Trek books and have read them all. My parents haven't (they did own some of them though).
They hated the movie, and seem to want J.J. Abrams dead. My mom said, and I quote,
That movie made me embarrassed to call myself a Star Trek fan.
So, should you see it? Sure. Have fun. And if you hate it so much that you become angry and homocidal, then get a life. Don't ask me how; I don't have one.