You're way, way off. Cable showed Cyclops exactly what would happen if he didn't take this course. He showed him a future where the world is destroyed because the Avengers were allowed to do as they wished with Hope. He explained to him that he would have to go to war with the Avengers to see the good future come to pass.
He couldn't restore mutant kind with one fifth of the Phoenix Force, he needed the whole thing. In the meantime he flew around trying to fix every problem he could and give mutants a good image, but the other four unfortunately were weak. The Phoenix Force amplified their emotions, and three of them were former villains. Colossus was under Cyttorak's influence. By the time Cyclops finally got the whole thing, all four of the other chunks had already become corrupted.
Immediately before that, Emma informed him she was having an affair with Namor, and immediately following getting the four corrupted chunks, everyone on Earth he'd ever considered a friend or ally attacked him all at once.
Cyclops intended the force to go straight to Hope, the Avengers interfered. Reed Richards has a panel where Cap and Stark are discussing this, and he basically says right to Tony's face "You know this is all your fault, right?"
If events didn't proceed exactly as they did, not only would mutants not have gotten their power back, but the Earth would have been scorched. Cyclops was right. Cyclops saved mutantkind. He wasn't alone, and he had it on good authority, but at the end of the day you have to accept that simple, obvious truth. Cyclops was right.