No, I don't think he would. But he'd have some "splainin" to do thereafter. He would have two choices:
(1) Say that our air defense radar in Iraq didn't detect the Israeli jets (bringing cries from the Dems about the billions spent on a military that can't detect univited warplanes over territory we control), or (2) Admit to the vaunted UN, Eurotrash peaceniks, the head-in-the-sand EU, and the Arab street (yes I know Persians are not Arabs) why we turned a blind-eye to the flyover. If he opts for number two, he might as well use US forces to do the bombing.
"He would have two choices:"
How about admitting the planes were detected and saying we were "taken by surprise" and "not sure what to do"? No one expects us to shoot down Israeli planes on their way to Iran.
Sorry, the "splainin" is obvious. I would start by saying that Iran has been at war with the US since 1979 (remember the hostages?). They have engaged in various acts of war against the US since then. Besides that, who does the US have to explain things to? The Russians? The Chinese? The French? Even the French have threatened Iran with nuclear retaliation.
Your second point, I think the US should participate or be the lead in this operation.
It's nice to debate these points and ask questions of each other, but events are proceeding rapidly and I think all these questions will be moot in about 60 days.