Israel and Hamas is an entirely separate conflict from Israel and Hezbollah for quite obvious reasons. There's different ethnicity, religious sect, territory, and history involved. There is not a remotely legitimate argument that Israel's conflict with Hezbollah in Lebanon is genocidal. I will generously assume you are referring to Gaza here, even though literally nothing else in your post points that direction. But if you truly believe Israel's strikes in Lebanon are "genocidal" you are just off your rocker.
I have a LOT of sympathy for Palestinians who have a fair case for never really having been given a fair shot at success. I have a lot less sympathy for Lebanon which really could/should have been a thriving pluralistic democracy but has instead consistently embraced sectarian conflict and as a result has gradually fully ceded control of its country to Hezbollah.
Lebanon was doing at least somewhat better at keeping Hezbollah in check for a few years immediately following the Cedar Revolution, but more recently after the 2019 financial collapse and the 2020 Beirut port explosion, Lebanon has now essentially descending into just being a failed state controlled by Hezbollah, and since then tensions with Israel have heated back up. Make no mistake that a democratic Lebanon would not be firing missiles into Israel "in sympathy" with Gazans, as Lebanese citizens understand these are separate conflicts. This is Hezbollah opportunistically firing missiles, and the Lebanese government no longer being at all able to stop them.
For everyone who loves to point to the UN constantly in regards to Palestine, the UN is pretty unambiguously on Israel's side with regards to Hezbollah, which Lebanon has continuously failed to meet its obligations on for two decades now, and it's been getting worse.
https://en.wikipedia.org/wiki/Blue_Line_(withdrawal_line)
"On 16 June the Secretary-General reported to the Security Council that Israel had withdrawn its forces from Lebanon in accordance with resolution 425 (1978) and met the requirements defined in his report of 22 May 2000; namely, Israel had completed the withdrawal in conformity with the line identified by the United Nations, South Lebanese Army militia had been dismantled, and all detainees held at Al-Khiam prison had been freed."
https://en.wikipedia.org/wiki/United_Nations_Security_Council_Resolution_1701
"As of 2024, the resolution was not fully implemented. While Israeli forces did withdraw from Lebanon, Hezbollah and other armed groups in southern Lebanon have not. Hezbollah has since significantly increased their weapons capabilities, amassing approx. 120,000-200,000 munitions (short-range guided ballistic missiles, short- and intermediate-range unguided ballistic missiles, and short- and long-range unguided rockets), and has increased the deployment of its armed forces south of the Litani River, developing tunnels, weapon stashes, airstrips and military installations.
Lebanon accuses Israel of not fully withdrawing from Lebanese territories, which is contradicted by the UN, and violating air and seaspace, which is a frequent occurrence."
https://apnews.com/article/un-peace...ollah-unifil-9cdf33e75ce976da77d38349622098db
United Arab Emirates U.N. Ambassador Lana Nusseibeh, the Arab representative on the council, said “tensions on the Blue Line are at a level unseen since the 2006 war. Over the past year, on a daily basis, Hezbollah “has been making a mockery of Security Council resolutions,” she said. “It has erected concrete military outposts and observation towers, conducted military drills with live fire and prevented UNIFIL’s freedom of movement while brazenly attacking peacekeeping forces.”
And what do you propose Israel is meant to do in regards to 100,000 Israelis being displaced due to Hezbollah's missiles? Full on war again like 2006?