It's not just Israelis who mourn soldiers and terror victims. Lots of people here, including some of the dead came from some place else and have family and friends there. My husband and I are still in touch with people we had first met when in our teens, while being members of Betar. We maintain a blog, on which we post pictures, stories and memories. Two of our friends from New York Betar of the 1960's, Chuck Hornstein and Eli Solomon, were killed during the 1973 Yom Kippur War. We meet at their graves every year. And every year the young IDF soldiers assigned to join us (and complete the minyan if necessary) seem so surprised that continue to meet every year for almost forty years.
"And they all lived happily ever after..."
I think that it's very healthy and important to have the two days connected the way we do. One should never think that security and independence don't have a price. All over the world this is known, but in some countries not all stratas of society serve in the military, certainly not on the front line. Terrorism brings the "front line" to one's door, and sometimes even inside the home.
Every day we must thank G-d that we are alive and we have a state, an independent Jewish state, not perfect, but that just gives us more to do. We must do our best to make the State of Israel even better.