That is not the ruling Likud ideology in Israel nor the allied national religious ideology; both refer to Israel+Palestine+Golan as "the Whole Land of Israel".
And in any case, the "most religious" (ie those whose politics are most totally driven by Judaism) bloc in Israel are at best ambivalent about the Israeli state and the settlement enterprise, and actively hostile to military service.
Israeli hostility to Iran is driven by a "defensive" paranoia, not a religious mission.
Of course it needs to be approached pragmatically. If Israel stated that its number one goal is to rule the entire region, they wouldn't have been as successful as they are.
Also God didn't say when. But he did promise, according to the Book.