Ryan McBeth presents his thoughtful analysis and debunking here: https://www.youtube.com/watch?v=R8HWJ2v0R6k
https://www.axios.com/2023/03/20/bezalel-smotrich-jordan-gre...
https://www.timesofisrael.com/israel-seeks-to-calm-waters-wi...
The article talks about his a speech he made in Paris in March of 2023 in which he calls Palestinians a made-up people. The podium he is speaking from features a map of Israel that includes Jordanian and Syrian territory. Israel is literally invading and annexing Syrian territory (which the media is playing down as 'buffer zones'
His view doesn't come close to representing the majority Israeli view; I'm fairly certain that in most surveys these days he gets literally 0 seats in the Israeli Knesset.
Settler ambitions are real though:
Settlement movement for Southern Lebanon: https://jewishcurrents.org/inside-the-movement-to-settle-sou.... Unclear if this will happen, depends if Israel actually does withdraw fully or not.
Resettlement movement for Gaza: https://en.wikipedia.org/wiki/Proposed_Israeli_resettlement_.... This is likely to happen on Trumps watch in Northern Gaza. The General's Plan is clearing out Northern Gaza of Arabs as we speak.
Permanent annexation of Golan Heights, and more land taken in Syria for the "foreseeable future": https://www.cbc.ca/news/israel-occupy-buffer-zone-syria-neta...
As far as Lebanon, there is no mainstream support whatsoever to settle north of the Blue Line. The article you linked describes the idea as "far-right". I would invite you to talk to an Israeli and ask them what they think about Israel annexing Lebanon.
Gaza is entirely different. There was a centuries-old Jewish presence in Gaza until 1929, when the Jews were ethnically cleansed by an Arab pogrom. That same Jewish-owned land was resettled again in 1946, but the Egyptians ethnically cleansed Gaza again in 1948, and kept Gaza Judenrein until 1967. Israel decided to pull all Jews out of Gaza again in a bid for peace in 2005, but of course we all know how that turned out.