I don't think this will have any effect on Newtonian physics. I would still like to see somebody try to eat his shorts on live TV though. I hope he brings the Ex-Lax.
Of course it has no effect on Newtonian physics - Newtonian physics doesn't make any claim about the speed of light being constant or the fastest it's possible to be.
If confirmed (and let's be clear here that the results aren't proof, they're just early data with large error margins), this would have a massive effect on Special Relativity (which makes big claims about the speed of light), and would probably be the biggest single result in physics since at Einstein's General Relativity theory (i.e. it would beat the pants off the e=mc^2 equation).