E”Y *was* our home until Hashem kicked us out which we all say in every mussaf. While individual Jews may live there, we cannot move there en masse, as a people, until Mashiach comes. That’s even in a peaceful and non-political manner.
Unfortunately, about a century ago, the Zionists invaded large parts of E”Y and declared a State there while falsely claiming to represent the Jewish “nation”.
Moving there will not change any “balance of power”, but it will almost certainly result in massive Zionist shmad of those Jews, to varying extents (even if they still keep Shabbos and put on Tefillin), depending on how much they know about the idol of Zionism and how strong they stand in resisting that idol.
As akuperma said, moving there is, at best, moving from the frying pan to the fire.