There is no reason why secular and traditional and Dati Leumi soldiers should have to bear the brunt for Haredim.
If you don’t want to serve your country in the event of a draft, then leave. Torah is very important, but le ma’aseh, an Uzi is shmira against Arabs shooting rockets into Sderot. G-d helps those who help themselves, which is the entire thrust of the argument of Religious Zionism (that humans act as partners with G-d in affecting geulah)- see R’ Menachem Mendel Kasher’s perush on Shir haShirim.
I wonder if Haredim would serve in the army in the event America had a military draft, or if they would get bogus semichas and yeshiva exemptions, such as what happened during Vietnam.