Is aliyah to Israel an occasion for which one does not recite Tachanun? Is there a difference of minhag on this, or is there a uniform answer (yes, it is a special enough occasion to refrain from saying Tachanun vs. no, it is a regular Tachanun day)? If there is a difference, is it dependent upon hashkafic differences (zionist/anti-zionist), or halachic differences (based on writings of Rishonim, Acharonim, etc.)?
It's orally reported (I heard it on a Rabbi Rakeffet mp3) that when Rabbi Moshe Feinstein was asked by Bnai Akiva about Hallel on Yom Ha'atzmaut, he replied: "nu, if it's a yomtov for you, then say Hallel; personally I don't."
That may be the spirit you'll find here.