My point wasn't that their stated goals can be met without a ground invasion, it was that a ground invasion fought only by Israel will be extremely difficult for them to win, if not impossible.
I'm not sure what your point is about death threats, or what threats you're referring to. Trump has pretty directly threatened Khamenei. The threats I remember seeing from Iran are always vague and pointed mostly at a desire for the Israeli and US governments to die - though dangerous statements to make, I wouldn't consider those death threats.
Don't misread me here as defending Iran, both sides in a war are to blame and the history of this problem goes back decades.