Answer

The reason for Hallel is not the increase of Torah study and the rest of the trimmings. The reason is independence and sovereignty. What we do with that sovereignty is not the Holy One’s fault, but ours. It is like a person not saying thank you to the Holy One for food because he stuffs himself and drinks to excess. He should give thanks that he received food, and make sure himself not to stuff himself and drink to excess.
An example is Hanukkah, where too the holiday is primarily a commemoration of the victory and not of the miracle of the cruse of oil. Beyond that, according to Nachmanides on Parashat Vayechi, the restoration of kingship to Israel involved a severe prohibition (because priests were appointed as kings), and nevertheless we celebrate it. Why? Because we give thanks for sovereignty and victory. What we did with that sovereignty is our fault, and that does not exempt us from thanking the Holy One.
The Haredi view that one should not give thanks for the establishment of the State stems from a feeling of alienation of “us” and “them.” The Zionists got a state and ruined it, but that has nothing to do with us (we, as usual, are perfect).
As for the involvement of the Holy One, I already explained here (and will expand on this in the trilogy) that the thanks are for the creation of the world and its laws, within whose framework we acted and were saved (“my power and the might of my hand”… “for it is He who gives you the power to achieve success”). The feeling of miracle, even though this was not necessarily a miracle, is only the opportunity we find to give thanks “for Your miracles that are with us every day” (that is, for nature). This is merely psychology.
I am not claiming that this was the original intention of the Hasmoneans, but this is how I see it today. The same applies to Independence Day: its founders certainly thought this was a miracle, but although I think they were mistaken, I join them for a different reason, just as I do with respect to the Hasmoneans.