This theory is horribly cursed but I do not think they could carry it out without their usual hubs sounding off about it. The thinktanks and the various people of influence. They all do this through various channels.
If it were being seriously considered I do not think they could hide it as efficiently as is necessary. It would have to be the effort of like a very small group of 10-15 people otherwise and that group would have to include generals that would carry it out, the president, and several completely deranged neoliberal ghouls.
Israel does not have enough nuclear weapons to do this by itself either. Israel has an estimated 90 nuclear weapons and to be frank I think that's a high estimate. This idea would rely on someone else also firing nukes. The only possible partner is the US. But if the US fires nukes in conjunction with Israel it is burning itself on the world stage forever afterwards. People worldwide will not treat it like Japan.