I thought the exact same thing. However, it does play into the themes of personal freedom that were the core of CA:TWS.In the comics, the government required people with superpowers to register. Half the heroes were in favor. Half were opposed. And they battled across various books. This was the arc where Spidey took off his mask.
Heh, this would be the shortest movie ever then. Everybody knows Tony Stark is Iron Man, Captain America has his own Smithsonian exhibit, and didn't Black Widow release all of SHIELD's information online?
This also make the idea of Spidey appearing in the MCU make more sense.