Would Israel even need to send aircraft? I'd think it has enough missiles, and missile smarts, to do it that way.
Ballistic or cruise missiles without nuclear warheads would not be at all cost effective against deep bunkers. Gotta be air delivered PGMs or nukes.
If Israel goes nuclear (and don't rule out the possibility if the Iranians seem appear to be on the threshold of nuclear capability) they won't ask anybody, and nothing will leak. They will not warn Washington (other than in very general terms), there will no leaks to the NYT, just a sudden busrt of light in the east.