Just got back from Captain America Winter Solider. I have to admit; usually Marvel movies don't impress me. I'm not a traditional super hero fan to start with, so I don't have huge attachment to characters or long story arcs that have taken fifty years of story and condensed down into 2 hours.
If I'm going to invest in loads of canon I'll stick with Star Trek. Even with all that being said, it was a delightful film. The story held up. Seeing Robert Redford as a villain...priceless! I actually thought that Captain America Winter Solider did what Star Trek Into Darkness failed to do: Tell a story about our responsibility to be more vigilant about protecting our freedom.
Both stories involved organizations (Starfleet & SHIELD) that the general population of the planet have developed to rely on to ensure their collective freedom. Sure both worlds have issues, but in general there is an expectation that these organizations have citizens best interests at heart.
Both organizations fall under the influence of sinister elements that want to exploit the power the of the greater organization. For Starfleet, Section 31 wants to start a war to ensure more reliance on Section 31. For SHIELD, Hydra has slowly been taking over elements of SHIELD to use to its own ends. Both organizations suffer a disintegration. Starfleet recovers, it is unclear if SHIELD will ever. These organizations nearly cost us the freedom they were both set up to ensure.
CAWS is just more entertaining, with a story that is not nearly as convoluted as Star Trek Into Darkness.