I was addressing the mechanics of elections. Because you know what? Israeli politics is alien to most Americans. Europeans get it when you mention Italy or the UK.
Arguably there is a fourth way, and may be building … this is a revolt within the cabinet.
As to your questions, am aware of the history of the region. At the moment added Amit Segal’s excellent history of Israeli political system evolution to my stack. Arguably you do read Hebrew. Highly recommended. Me, dusting off my Hebrew in the process.
And if you are going to just argue Hamas abd rockets, there have been four serious upticks of bombings et al because of Hamas actions before black Shabbat.