Iran is ATM saying it closed the Strait again, implied that it will wait until Israel stand down at least.

Even if USA insist on Israel-Hezbollah (and so Lebanon) be kept apart from any deal to end their war in Iran, it would still mean a terrible strategic and diplomatic disaster between USA and Israel, because Israel Gov' will be left with two terrible scenarios:

1) Trump Admin' will concede to Iran they'd be leaving the region and leaving Israel to defend itself alone, because the Hormuz being open for business and the Gulf states being spared would be enough; or

2) USA will have to resume hostilities, meaning domestically Trump will have to explain the US Military is obliged to continue the war effort for as long as Israel want.

IMHO don't see how Israel-US can politically survive those two scenarios.