Perhaps I'm nitpicking here, but I believe they don't actually want the same laws for individuals and corporations. They don't want corporations to have the same rights as individuals.

Sort of. But if you played a small form of the recent mortgage scam a police officer would put cuffs on you and take you away for running a Ponzi scheme.

Run a large enough one and they bail you out and let you keep profiting on it. I haven't seen a single person charged in the mortgage meltdown despite that almost everyone at every bank was in a better position to see the problems than I was, as a borrower, did.

If our laws were applied without regard for the wealth of the guilty almost every bank employee in the majority of the world would be charged with conspiracy to defraud their customers and at least permanently banned from ever professionally handling money. (They did worse than Kevin Mitnick, they deserve worse punishments.)

As for corporations having rights, it's ridiculous. My cycling group doesn't have rights, the individuals in it have rights. Corporations are groups of individuals and thus, indirectly, have all the rights they need. Anything beyond that is corruption.