The problem with that proposed amendment would be that now, they have no free speech, for example. And would they still be considered a separate legal entity from its owners? Plus, that first sentence isn't really necessary.
I mean, don't get me wrong, its a great idea. But as a side note, I feel like this "COPORATIONS AREN'T PEOPLE" thing is getting old and out-of-hand. No, they literally aren't people. Duh. They've had these rights for years and years and only now people are complaining. If Mitt Romney hadn't simplified his argument to make a valid point this stupid soundbyte wouldn't be following me where ever I go.
Sorry, pointless rant over.