The West Bank is still occupied because the Palestinians have not agreed to a peace deal with Israel, despite being offered one including that land most recently in 2008. Given what happened on Oct 7th, I don't think there will ever be such an offer again.
Israel is currently occupying parts of Lebanon and Syria because Hezbollah fired 8,000 missiles at Israel from southern Lebanon during 2023 and 2024, and Hezbollah was supplied with those missiles through, with the consent of, Syria. Hezbollah's presence south of the Litani river was in contravention of UN Security Council Resolution 1701.
So whether Israel captures or returns land has really nothing to do with whether its government is left or right wing. Israel is not authoritarian. It is a constitutional democracy.