Re: "So if someone thinks that by going to live in the state of Israel, even by "making aliyah" in the political sense that the state today defines that, is achieving redemption for themself and they achieve the actual mitzvah of aliyah, then that is true. They are correct in thinking that. "
No - this is NOT correct.
Jews who think that are redeemed by their moving to the Land of Israel, and living in the Land of Israel are incorrect and living in self-deception.
Aliyah means "ascension" - meaning both the physical bodily ascent to Jerusalem, along with the "spiritual ascension" achieved by a Jew when fulfilling the Torah mitzvah that a Jew must live in Eretz Yisrael (the Land of Israel).
And if you "make aliyah" by Israeli legal standards, the end result is that you live in part of Eretz Yisrael.
You fulfill the mitzvah regardless of who has governing authority over the land of Israel. And you have personally left the exile, which is actually a place/places.
Whether aliyah is fulfilled as Torah mitzvah, or fulfilled as legally defined by The State of Israel from another nation, aliyah is NOT the same concept in Judaism as Redemption.
It is the first step of redemption. One step of redemption is the ingathering of the exiles. This has already happened to such an extent that very close to 50% of world Jewry is living in the land of Israel. That is one of the steps of redemption, regardless of whether we are fully redeemed with a Beth HaMikdash or not.
Redemption means the The Final Redemption of all Jews under King Moshiach,
No, Final Redemption means Final Redemption, and redemption means redemption. The word redeem literally means to bring out of the exile. That word "geula" - redemption - has a meaning in Hebrew, and it has nothing to do with moschiah as a plain word. We happen to know that the full redemption will be complete with the coming of Moshiah. That does NOT mean that ingathering of exiles is not redemption. That's the definition of the word!
I've heard others speak similarly to you, however this clearly makes words lose meaning, and we speak in nonsense terms by calling things their opposites.
a status yet to take place, which is why The State of Israel is not at present a Jewish State,
which is why in the metaphysical sense? I can't speculate about why in that sense. Maybe it's some other reason that the state of Israel does not operate as it should as a Jewish state, but instead as a state of Jews, maybe because we have merited it that way. Maybe because the Jewish people lives with illusions and mistaken views. Maybe because we are not pious enough or not righteous enough. Only G-d can know that "why."
Theoretically speaking, though, there's no reason why there can't be a Jewish state before moshiah, as a rule. It just so happens that the current formulation of the state of Israel is not ideal, and we are also in the pre-moshiach days.
and which is why the IDF represents the interests of the state rather than The Land and People of Israel.
Again, it's pointless to speculate mystically. You or I or anyone else cannot know WHY the IDF acts the way it does rather than ideally, other than what we have evidence for. We have evidence that the
people who run the governing of the state of Israel designed the IDF this way and command it this way. That is the only "why" we can possibly know (not from G-d's point of view, from ours). It makes no sense to say 'Moshiach is not here yet, therefore the IDF can't possibly act in the interests of the Jewish people.' If Israel gains different leadership, and operating principles are changed, the army certainly can act as a jewish army in the interests of the Jewish people, before Moshiach arrives.