Did Captain America dismiss mutant issues as something not worth his time?
No. Again, it's like you read a different comic.
That Cyclops is quite a guy.
Did Cyclops ask him to leave the island? A place the U.N. considers its own country"?
I don't remember the UN considering Utopia its own country TBH. I even looked it up and couldn't find it. All I found was Quire's attack on them and them using Sentinels to attack. But regardless, if the fate of the world is at stake, I could care less about sovereignty.
Did Captain America threaten to take Hope from the island with no ifs, ands, or buts about it?
Actually, there were ifs, ands and buts. He tried to be diplomatic till Cyclops pushed him. Cyclops also attacked Cap without any knowledge that the Avengers were there.
And talking about no "ifs, ands or buts":
He looked ready to negotiate there, right?