Hezbollah is part of the elected government within the in internationally recognized borders of Lebanon. It might be illegal for them to fire at Israel, but it's not illegal for them to be present. It is illegal for Israel to be present within Lebanon's borders.

Being part of the government doesn’t usually grant you the right to maintain your own army. Imagine if every political party had an army.

Shouldn't that be an internal political problem for Lebanon to solve?

> Imagine if every political party had an army.

Well, the People's Liberation Army is not technically the army of the nation of China....it is actually the armed wing of the Communist Party of China. Just the PRC is a de-facto one-party state.

https://en.wikipedia.org/wiki/People%27s_Liberation_Army

Hezbollah's presence might not be illegal under Lebanese law, but it is illegal under UNSC 1701.

Israel's current presence might technically also be illegal under UNSC 1701, but Israel has a very strong casus belli from self-defense, having been bombarded for the past year.

The whole reason the UN is there was to assist the Lebanese government in disarming Hezbollah....

They care about Israel Bulldozing UN's bases (walls and towers)

Israel is being openly threatening UNIFIL, and they aren't retailating in any way. I am 100% sure the white hats have never had any capacity to do anything beside being witness. Hezbollah was ok with that, Israel is not ok with that.