Atiyah is one of the most influential living mathematicians. His prior contributions give him a prominent platform from which to announce this result, which has quickly generated a media firestorm. To me, the worst part is that the work doesn't stand alone---a proof is a proof when it is understood by a community of experts. Until it has been carefully evaluated, no one should be criticizing him due to his age or past failures, nor should they be celebrating his achievement.
Few years ago when Atiyah was publishing his 12 page proof of Feit-Thompson theorem Serre (both Fields Medal and Abel price) said this:
"I hope Atiyah's "proof" will not be published; I have seen it : it is hopelessly wrong." https://plus.google.com/+TimothyGowers0/posts/Troy62f3AS6
Those who have the level of understanding needed to understand and critique his work don't seem to think that he just makes normal mistakes anymore. The word proof was in quotes. Let them be the critics and let's not make news about this.
however if it indeed is the case that the value of ratios of speed of light, planks constant, electron charge and electric permittivity of the vacuum are related to prime numbers would be indescribable
edit - this appears to be closer to the paper https://drive.google.com/file/d/1WPsVhtBQmdgQl25_evlGQ1mmTQE...
We wait to see what the manuscript on the Todd function says.
I don't see how it's a big risk. the worst that can happen is it's wrong. I'm pretty sure he put a lot of thought to it.