simcha: What’s so difficult? Everyone should follow their own rabbis. In your example, the zionists should follow the zionist rabbis and allow themselves to be drafted into the army. The followers of the rabbonim on the Moetzes Gedolei HaTorah should report to the induction center and announce that they will not serve in the army. And the followers of the Chareidi/Chassidish rabbonim, you referred to, should not report to the induction center altogether.
Beautiful and perfect. Everyone following their own rabbi.