There's been much speculation about the themes of this trailer, and what it will mean for the film as a whole. I've seen articles claiming that Superman is painted as the villain of the story, who must be taken down by Batman. I've seen reports that "everyone hates Superman" in the trailer. But there are obviously people who love him, even worship him. There are people reaching out to him, people bending at the knee as he approaches. There are both people arguing for and against Superman. The city even erected a statue to him at one point. Yes, it gets defaced by those who are against his being on Earth. And I think that is a fairly evenly balanced point to take.
We're talking about an Earth where Superman's appearance came during a time when his own race tried to destroy the world. While he saved the day, it's because he was here in the first place that the threat arrived. There are obviously going to be people who feel threatened by him being here... with all his powers. No matter how much he proves himself they won't accept him. He's different.
By the same token, there will be people who will admire him, look up to him, and yes, even worship him. He's a savior. He's a being of amazing powers who is here to help.
As the dialog states... he's a figure of controversy.
All in all, I was impressed with this first trailer without being blown away. It has a dark tone, but that was somewhat expected. I like that it follows on directly from "Man of Steel". We really don't yet understand the motivations of either Superman or Batman. It's vague enough (until the very end) for us to be unsure as to how Superman feels about the way he's perceived (both positive and negative). We also don't know how and why Batman gets involved. What side of the fence he sits on at first... and why or how he decides that he must confront Superman with such antagonistic comments. We also don't know what Superman's reaction to Batman is. Does he land on that rooftop to try and talk things out and reason with Batman? Does he know anything at all about this man who dresses up as a Bat?
Future trailers may give us more insight, but for now, I think we're all just a little more intrigued and more than willing to go along for the ride Zack Snyder is preparing for us.