Much as I would love to see Netanyahu replaced at the polls (and am looking forward, once again, to voting for an opposition party this autumn), there is no credible news whatsoever that anything has happened to him. Trust me, the Hebrew news would be the first to report it...
Also a more idiomatic translation of "I am dead for coffee" would be "I'm dying for a coffee!" Same phrase as the English.
Nothing to suspect that the coffee shop clip is fake. As the BBC clip above suggests, there is footage from multiple angles.