"My suggestion is to make it clear (strongly imply, without directly stating) that you will whistle-blow if you remain on probation or are otherwise mistreated."

Makes it look like extortion. That's not going to help.

And when the feds bust the company for felony non-compliance you do not want to be the fall guy for everything illegal your former employer ever did, including the stuff you haven't figured out yet. The first thing to do once the former employer is officially former is talk to your lawyer, the second thing to do is with your lawyers advice and help is document the false reports with the feds. You don't want to get arrested at your new job six months later because the feds finally came down on your former employer for the false reports and they set you up to take all the blame.