But Rabbi Soloveichik did not say Hallel on Yom Yerushalayim. Yom Ha'atzmaut is a far more significant day for Klal Yisroel. It is the day that Eretz Yisroel was returned to the Jewish people and it was the day that Jews for the first time in 2000 years knew that they had a home where they could go - always open to them. They could come- from any where in the world and know they would be welcome without any hindrance.
Yom Yerushalayim, though very important, does not have those distinctions. They already exist by virtue of the creation of the State. But it is still an important day – one that we should all celebrate at least in some way. Rabbi Soloveichik did not say Tachanun on this day. And certainly it is a day where Tachnunim should not be said. Yet there are far too many people whose Hashkafos ignore this day entirely even saying Tachnun on it! I do not understand this at all. This is the day that we had returned to us Har HaBayis - The Makom HaMikdash.