All Jews should celebrate Yom HaAtzmaut. Jewws in EY especially because we have all the benefits, opportunities and challenges (what’s life without challenges?) of having an independent state. Jews in the Lands of Tuma (as per Chazal) because according to many, including Rav Soloveichik and Rav Yaakov Kaminetzky, without Israel there would have been almost total assimilation due to the national depression in the wake of the Holocaust.
As for the US ID, America is a fine country and in many ways the Israel of the Goyim (this is far beyond the scope of this or any post) but it is not ours.