In Lebanon, Israel will meet resistance with stretched supply lines. In Gaza, the troops could return to Israel in minutes. In Lebanon they'll be sleeping in recently invaded accommodation. It's a much larger enterprise and against a much better armed, equipped and supplied enemy. With supply routes and support from Turkey, Syria and Iraq, resistance will be a lot stronger. I expect Russia/Iran will also want to be testing out how to track and shoot down F-35's.No idea where the idea that Trump won't get involved in the middle east , he was actively looking to attack Iran at the end of his presidency.
Netanyahu is playing a big game of chicken , if he does try and invade Lebanon and kickoff a stand off war with Iran then he will find his forces stretched. If they are fighting on the ground both in Gaza and Lebanon and also defending themselves from drone / missile strikes from the Houthis and Iran then there is a fair chance they will be reliant on US military aid to keep in the fight. Especially if the conflict drags on for any length of time.
Netanyahu is obsessed with retaining power at all costs. The Gaza conflict is stretching Israeli resources , a full blown invasion of southern Lebanon will stretch it even further , the economy will struggle due to the number of reservists called up let alone the dollar cost of keeping the military supplied. I don't think Netanyahu can do this without significant buy in from the US and significant ongoing military support.