Even with no US combat infantry, it was US made F-15 and F-16s that allowed Israel to win in the air from 1980 onward. This includes Operation Opera When Israeli F-16s took out Iraq's nuclear facilities. A action that few other fighters of the day could have achieved.
No boots on ground does not mean no shared interests or support for the outcomes of military operations.
If Saddam really was a danger, then his danger was more immediate to Israel than the US, which means it was Israel who should have invaded and occupied Iraq