I think that's unlikely to be true. I think it's a self-serving western myth that Israel, with one of the largest economies and the best trained and resourced military in the region (see the Arab States performance vs. the IRGC in Syria and Yemen for counterexamples) is a US-dependent proxy. The west tried to ice Russia out of supplies for the Ukranian invasion, and that didn't work despite near-unanimity. Israel will just buy bombs from China, which is their next largest trading partner after us. We will lose all influence over Israeli policy, at least until [insert US partisan political argument here].
(I also think it's not at all clear that serious policymakers in Israel "want Gazan land", let alone need it; the messianic nutballs bolstering Netanyahu's coalition are, to put it mildly, not representative of mainstream Israel policy thinking.)
A reminder that we're just talking about this stuff here; this is HN, not the UN Security Council. If we're going to have threads like this here, we're going to have to accept that we're having curious conversations, not high-stakes deliberations. So: I can be wrong about all of this stuff, and I'm glad to hear why. But we're not going to solve Israel/Gaza on a thread.
(You didn't say anything to prompt that disclaimer, it's just a stress reaction from previous threads).