Free speech has always been about ensuring the government does not have control of the person to be critical of the existing power structure, that should never be infringed BUT when it comes to a corporation censuring someone on their infrastructure, that is their right. Corporations having the ability to pressure the govt to do something is a whole different kettle of fish.
That said, he can use the tools available for him just like Hulk Hogan did with Gawker and sue the living crap out of the newspapers for defamation of character and potential lost income (although HH was a different and probably more embarrassing situation). If they modified the videos to make it sound like he is anti-Semitic than the unaltered videos which he has access to will exonerate him. There should be lawyers banging down his door right now.