I think Bibi knows that Biden isn't going to change course before the election, so he is using this month to escalate things enough to keep them going as long as possible afterwards. In Israel, once things calm down, there will be elections, and Bibi knows he probably won't win.
On the other hand, domestically, invading Lebanon is very popular - even most of the left wing Jewish opposition supports it. It's crazy making, and frustrating, believe me. But if you only read the Hebrew media and aren't a good enough English speaker to read the international news, it's almost like you live in a different reality where all of the awfulness of Israel goes unmentioned while the awfulness of Hamas and Hezbollah gets talked about 24/7
I think that they are pro-Israel because they want all the American Jews to move there to rid them of "the problem" of American Jews. Think of them like national segregationists - they don't mind Jewish people existing as long as they are "over there". And it's also in Israel's interest to project themselves as the only place in the world where Jews can be safe.