The Avengers aren't hypocrites, the people at Marvel who are making the main "creative" decisions for this arc are the hypocrites for committing character assassination (on both sides) just for a cheap publicity stunt.

Avengers are the biggest Hypocrites Why?

House Of M cap says, No

Children's Crusade he says We Take Care Of Our Own

And now AVX, He tries to play the hero again by stepping into The X Men's Territory

First of all, A Government prison cell won't stop the Phoenix Force from coming, it's still gonna blow it up and posses Hope. That's the biggest ridiculous plan Cap ever came up with. Second, Iron Man screwed up with the Anti-Phoenix Blaster. You can't kill a Destructive cosmic entity with science. Third, Cap is always using Wanda as an excuse. Oh and by the way, The Avengers don't fully have the right to keep Hope, because the only man who has the right is Cable. Cable was the one who raised her and that's it.

One more thing, Steve Rogers is a one big delusional guy. He's better off fighting in Wars not associating himself with powered people.