This war has put Biden in a not so good position.
Up until this week, Bibi has made the Biden administration look completely defanged and powerless. There have been multiple gently-worded statements from the Biden administration saying that Israel shouldn't do x or shouldn't do y, while also saying that there was no way we would ever stop supplying Israel with arms. As you would expect, Bibi took this as carte blanche to bomb Gaza to ashes as a means of destroying Hamas. Further humiliating the US, the Israelis denied both the UN and US opportunities to create aid corridors in Gaza. Instead, Bibi very graciously allowed the USAF to airdrop supplies on the beach.
Last week, the rhetoric started to escalate. Biden had a hot mic after an address to Congress where he told another Democrat Congressman that he's going to have a "come to Jesus moment" with Bibi. Bibi responded by saying something along the lines of, "we've already had 13 or 14 of those." And Bibi continued to bomb the shit out of Gaza. As a response, top Democrat Chuck Schumer has called for the ousting of Netanyahu. Today, some Israeli politicians have said to the Jerusalem Post accusations that the US is trying to overthrow their government. This is turning into a diplomatic feud.
Any move Biden makes here looks pretty bleak from a re-election standpoint. Trump is absolutely winning over the neocon vote, and probably some of the warhawk neolib vote too by saying that no one is a bigger supporter of Israel than him (and given what he did with Israel during his presidency, I would argue he has a good point). Moderates (normies) don't do well with seeing dead children on their Twitter/FB/tiktok feeds every day and so Biden is losing support from his soccer mom constituency. Lastly, the far left wing of the Democrats is outright angry with him over his decisions here (though I expect in 3 months we will see them saying "yes, Biden didn't handle this situation well, but we cannot go back to Trump"). Muslims are probably going to sit this next election out, which is going to cost Biden 1-3% of the vote in Michigan. You know they're going to turn out.
As for Bibi. He was looking at a prison sentence before the outbreak of this war. Even throughout the war, there have been many large protests within Israel from supporters of the opposition party. Bibi's going for the extermination of Hamas or bust. The longer this thing drags out, the more likely he is to get ousted by his own people.
Pretty fascinating to watch these two balance on a knife's edge.