Was Israel essential for Trump being willing to attack Iran, or would he have been willing to go it alone? Even if Israel was essential, it took two to tango. Israel for sure wasn't going to do this without the US. If Trump had said no (as the previous N US presidents had), then we wouldn't be here. If Trump had listened to analyses saying that Iran would disrupt Hormoz (as there were plenty of analyses that said), then we wouldn't be here.

So I consider the "solely" to be more than just "a bit" of a stretch. There's blame enough to go around, but a massive chunk of the blame rests on the White House.