Which rights exactly are you wanting to take away from corporations? The provision of making corporations people gives them the rights to not be subjected to searches without warrants, to not be spied on by the NSA, to not be punished for speech, to own private land. Are you really in favor of taking these away? By the way, this would not only effect the big evil corporations that you despise but the mom-and-pop shop…
What I don't like about the current state of corporation rights right now is that they can't be punished if run by halfway competent people. Case in point: patent trolls use shell companies to carry out their shenanigans while it's convenient and vaporize them the moment they're no longer convenient. Real people can't do that, if they do something wrong they can't just disappear and reappear later as a different person.
Edit: I'm not saying that patent trolls are always legally wrong (perhaps morally), they are just good examples of how vapor corporations work.