Yom HaZikaron is one of the days that really reminds me I'm an olah, and not a native Israeli. I mourn with the rest of the country for our fallen, but unlike most Israelis, no members of my immediate family have served in the army, and no members of my family fell in service. My girls did National Service, and they have some "war stories" (bullet passing over head as riding bus, living under bombardment of bombs, getting caught outside at night during bomb siren and walking into nearest house - which happened to be Arab, etc.) but it's not the same.
This goes for Yom Ha'Atzmaut too, the other side of the coin. Without the personal connection to the army, I don't think my connection is quite as deep, It's getting there, deepening as the years go on - but the army connection is so integral to the full Israeli experience, to being a full, responsible member of the family.
Perhaps when my grandchildren go into the army I'll finally really feel fully Israeli, feel the full depth personally.