Captain America never had any intention of talking to Cyclops to find out what was going on. The Avengers looked bad in this. Though Captain America honestly THOUGHT he was listening to a Phoenix expert. He listened to Wolverine, who explictly said it was heading towards Hope. All the Avengers knew before this is that it was heading towards Earth and to be on alert. There would not have been a preemptive attack on Utopia had it not been for Wolverine's so called advice. Wolverine couldn't get over his obsession with Jean to think that the Phoenix might have a valid reason for coming to Earth, and as both plain Jean Grey and as the Phoenix she saved the world repeatedly. Hope had saved mutantkind from Bastion and his Nimrods, so there was no reason to doubt she couldn't save them from extinction like she ultimately did. Wolverine didn't care about anything beyond his losing Jean and his hating Scott/his stupid schism with Cyclops.
Mind you Cyclops had become a horrible person by this point. There were valid reasons for disagreeing with his leadership. But Wolverine should have dealt with that during dialog between X-men and not at a crisis time, and not by putting the Avengers into schism which is what he did. The fact Cap was dump enough to listen to Wolverine and dump enough to keep him in the Avengers after following his bad advice shows Caps poor judgement. Honestly the other X-men and Avengers should have called him out on it, but Cyclops and Emma had become dictators with their shares of the Phoenix, and Cyclops killed Xavier, making him look so horrible the Avengers or the X-men couldn't condemn Logan for dumping the gun and opposing Cyclops.