I still don't get why people are screaming "INJUSTICE" as if it's a sure lock. Supes went nuts Post-Lois' Death in order to create a safer, stabler world where such things wouldn't happen. He turned into a dictator, not a tyrant, there's a difference. Injustice Superman didn't go around destroying cities and leaving them in a Post-Apoc state, he tried everything he could so that they would be protected and safer. Plus, he never allied himself with Darkseid. Hell, he barely appears in there! It's Sinestro and his Corps he makes a pact with, since they both share similar world-views, i.e. Peace through Order.
As I've said already, this is much more in line with the plot of Nu52 Earth-2. There, the big names died (here it's just Superman), leading to a bunch of unlikely heroes banding together, eventually coming face to face with an Evil "Superman", who also lost a Lois. Seriously, everything we've seen so far has no similarities with Injustice except "Superman is a ****". If they're trying to adapt that, they're doing a poor job. The story is a great morality tale, but if you have Supes go all evil, you lose everything the game's about.
Maybe we should wait for a few more hints before we go all "they're adapting Injustice 100%" is all I'm saying... At this point, everyone's running with it, mostly because it's the only "Superman turned Evil" story they know, never mind that nothing so far points directly to Injustice, but rather a usual "hero turned evil story". Regime Supes was twisted, but not "evil". He was a Doctor Doom character if anything.