> how important the popular support even is

To see the effect of losing popularity, see how AIPAC's power in the Democratic party has begun to wane following their defeat in New Jersey.

A common mistake those deploying money in politics make is forgetting that the endgame is votes. The money helps buy votes. But if you're losing votes, you're losing votes.

> right now, the state of the war is a win for Israel

If hostilities end right now, yes. There is zero indication that endpoint is proximate.