Israel is not "fighting Lebanon". I've seen that claim made, but it isn't.
It's striking Hezbollah targets in Lebanon.
Hezbollah, which translates as the "Party of God" is a Lebanese Shia Islamist political party and paramilitary group. The party does control large sections of Lebanon where Shia is dominant religious group.
Lebanon itself was carved out of Syria by the French during the French mandate period as it had a majority Christian population. It's one of the few areas of the Middle East which still does, with Islamic repression over centuries having forced conversions and emigration throughout the Middle East. Be that as it may, Lebanon is no longer a majority Christian state, and its a mess because of internal strife and division.
That came in due to the conflicts in the region, with the Palestinian refugee population of the 1970s being particularly problematic. The country fought a civil war that lasted in one form or another from 1975 to 1990. It's never been stable since.
It's very difficult to see a positive future for Lebanon in any form. That doesn't mean it won't occur, but it's hard to see.
What can be seen, in my view, is an Israeli invasion of southern Lebanon coming in the next week or so.