I don’t understand how Israelis keep voting him in either.
They aren’t exactly voting him in. Israel operates under a parliamentary system, not a presidential one.
Between 2018 and 2022, Israel had 5 elections because they were unable to form a government. No political party held an outright majority of parliament, so to form a government, they needed to form a coalition between multiple parties. Historically, this had gone fine, but during this period the more liberal parties adopted an “anyone but Bibi” stance, and refused to join in a coalition led by Netanyahu. Similarly, Netenyahu’s party, Likud, representing about 25% of parliament, dug in and refused to remove Netenyahu from being party leader, and the other conservative parties joined in and refused to join a non Netenyahu coalition. With the Arab parties forming a third wing, neither side was able to get to 50% to form a government.
Ultimately, Likud and the conservative parties ended up winning this fight, but only by joining with far right parties that were previously to extreme for Israeli politics.
And what happens after you kill the Houthi leadership? Do all of the Houthi forces turn over their weapons and go home? Get taken over by a more radical leadership? Split up into a bunch of cells with no centralized leadership?
The Houthis are not a force for good on the region. However, compared with other terrorist groups, they are relatively rational and constrained. If even half of their forces want to go more extreme, they will have a proximate reason to do so, and no leadership to stop them.
The likely result is the Gaza war expands into having a full war on the Yemen front (which is, admittadly, on track to happen anyway), against an enemy that no longer has the capacity to negotiate or surrender.
As a fun side note, a bunch of those cells are also going to be freshly angry at the US, which is very much not in her interest.
We’ve tried killing terrorist leadership before. It tends to not end well.