THis is where the comic book world and the real world need to differ.
In the real world I'm absolutely a believer in proper checks and balances. But if I lived in the marvel universe and a giant world eating alien landed on my front yard then screw the red tape... government and public should get the hell out of the heroes way so they can save the earth. We can worry about laws and princpals later, when we're all alive to worry about it.
It's not that laws and principals don't matter, in regards to the heroes... it's that on occasion they need to take a backseat to more immediate practical concerns. I'm not talking about heroes stopping bank robbers or anything like that. But at a certain point, YES you lose your vote in things and need to step aside for the rightful kings and paladins to save you because that's all you can do. It's as simple as that. It has to work that way.