This is the crux of the problem, as I see it. There’s no logical connection between what Cyclops did in Death of X and how he’s viewed in Extraordinary X-Men – certainly I don’t see why any human or mutant would view him as anything this side of morally neutral.
I could see an argument that the Terrigen Mists are sacred to the Inhumans, so Cyclops’ actions are seen by Inhumans as religious desecration. But that doesn’t explain the reactions of humans and mutants, and even then it’s a bit of a stretch – the Inhumans have always been very secretive with their mists, and Black Bolt spreading them to the world made him a pariah for a bit.
I don’t know, it seems like there was a last minute course correction. I could see the “Cyclops as evil extremist” thing if his intervention had destroyed a cloud and say, badly damaged Madrid – this would fit in with his protect-mutants-first, ends-justify-means thing and explain how others might view him. But it feels like editorial got cold feet.