Which is even more odd since the government and superiors have shown to either be super corrupt or would drop a nuke on New York.
Like, why would anyone believe oversight is good considering this world's track record?
But then again, the movie pits oversight vs freedom in general without taking into account that world's history.
Oh well.
I mean, the movie also makes it clear that Tony is correct. The Avengers have an internal disagreement over how to handle something and the result is that they level an entire airport. They're not safe to be around! Their problem solving techniques are extremely destructive to everything near them.
But, also, Tony is a little bit of a narcissist. When he says the Avengers need adult supervision he means that he, personally, needs adult supervision. And given that he built Ultron, it's kind of inarguable that he's right. The problem is that that oversight needs to come from somebody who can actually stand up to him. That probably limits it to just other Avengers and Pepper Potts, and she left him, which is the other reason all of this is happening.
Which means that Steve is also correct -- the Avengers are in charge, because they're the only ones who can control the Avengers, and they need to accept that.
Ultimately I think the person who's actually the most correct in the whole movie is Natasha -- who says, essentially, "big deal, so we sign the Accords, we're still the Avengers." The government can't actually manage or contain them. What does it matter what they sign?