I agree with this revision. It's important to frame your fight in terms of intellectual freedom within the academy, which is perhaps a conceptual framework your faculty can comprehend. Yale does not have any de facto obligation with regard to your free speech, legally or contractually speaking. Unfortunately, our society generally permits speech to be legal cause for termination/dismissal in private institutions (e.g. employment at a company), except in cases of discrimination and failures to adhere to equal opportunity laws.

The best advice I can give is to ensure you have open-minded faculty members at your back. If you have professors you feel you can talk to, I would try to have a casual conversation with them as soon as you can. Their advice and backing will be invaluable, if and when a formal situation arises.