So as to not discourage people - right to work does not prevent you from going after a company that mistreated you in a civil lawsuit. If they ask you to do something unreasonable that was not in the job description, you can sue them for things like lost wages while you look for a new job, any relocation expenses to the new job, and to a harder extent emotional suffering an punitive damages.
Let me give a clearer example. Your boss tells you "shoot that old lady or you're fired." you refuse, he fires you. You can sue him, you will win, it has nothing to do with right to work or not. In my case it was asking me things to endanger patients, and refusing to put the request in writing so there's a record of it.
The issue with that is it's a civil suit, in court, and your law firm is now fighting a huge corporation for the amount equivalent to a couple of months' salary. It's not worth it in most cases, and they know that. But if you want to break even, and the huge amount of time and added stress of the lawsuit is worth revenge - not cash - absolutely do it, and punish those assholes. Except they're not really punished. The payout disappears in a database and becomes a rounding error somewhere, and the management responsible never gets punished. They don't have the stress and time waste of the lawsuit - there are zero consequences to them, and it's yet more loss to you.
Unless you're willing to find a lawyer who'll just take part of the settlement if you win and guarantee you it won't take up a lot of your time. I contacted a bunch of attorneys, and that was a no-go. Contrary to popular belief, getting the guilty party to pay the attorney bills of the winner almost never happens in real life. Even if you get awarded those costs (doubtful) - they will simply refuse to pay. You can then show up and take their office furniture and put it on ebay.