The system there allows him to win. He may only get support from 20% of the population but he allies himself with the more extreme settler and religious parties. As you say, progressive liberal people probably form the largest group but they are spilt amongst several even smaller parties giving Nethayahu the opportunity to divide and rule. The mainstream non-religious who just want to get on with life and their neighbours need a charismatic figurehead who can challenge Netanyahu. That has been lacking since Rabin’s assassination 25 years ago.Not that many people are voting for him, the progressive parties are doing well in Israel or at least well enough to keep him from outright power. He's also facing corruption charges which may well see him booted out anyway.
In any event, who is in charge in Israel isn't going to change anything. Someone different may call a ceasefire but that still isn't acceptable to Palestinians or their supporters like Egypt given they consider the existence of Israel as obscene. The Arab League has shown signs of relenting like the UAE for example now has ties with Israel but my guess is they aren't showing neutrality, they just aren't arsed anymore.
Another major problem for peace talks is the US is an important mediator but thanks to Trump they can no longer be a neutral party. I'd expect Biden to maybe change this policy but who knows, he just comes across as bollockless to me and he'll avoid the issue as much as possible for 5 years so expect nothing there.
What the heck
Didn't we bomb an al'jazeera office in qatar during the Iraq war? Our 2003 military adventures are properly coming home to roost now - Israel has a nice convenient precedent to ignore UN resolutions, bomb what it likes and generally do what it wants in the name of 'fighting terrorism'. Tbf they face a more substantial threat than the legendary 45 minute claim from Blair.
No idea how this ends now, clear it needs international intervention otherwise that whole region will turn on Israel