For me, I thought it continued along with the Man of Steel theme quite well, IE, what would actually happen if a Superman appeared in the "real world" so to speak. The same themes of fear, worship, xenophobia, etc.
Eisenberg's Lex was a bit over the top with the "millennial" aspect of him, but I thought he captured the xenophobe/hatred of what Superman represents part of Lex pretty well.
[spoiler]-Regarding Batman killing people.
I understand people have a problem with this. However, it's not exactly the first time Batman has killed people in his movies. I mean, Burton's Batman most definitely killed people. So did Nolan's Batman. Literally, in the first movie, with Ra's Al Ghul. "I'm not going to kill you......but I don't have to save you!" He doesn't flat out kill him, but he still let him die. "Moral" Batman would always choose to save him, like he tried to do in The Animated Series after Ra's legit told him his plan to wipe out two billion lives. He does kill Talia in The Dark Knight Rises though.
-Haha, I will agree that trying to cram in the two most popular comics associated with Bats & Supes was kind of silly. However, the Justice League cameos didn't feel forced at all. They were brief snippet sightings of them and Wonder Woman was there trying to keep herself and the fact that she's been around for over 100 years a secret. It was way way way less forced and less offensive than what Age of Ultron did.[/spoiler]
Don't get me wrong. When it comes right down to it, I still prefer the DCAU or the CW DC universes sooooooo much more than this one. But for the take they were going with, I still enjoyed it.