How about this: The religious sector complains about the Egged buses on Shabbat, which are obviously intended for the secular sector. The secular sector complains about the Egged 'mehadrin' (separated) buses, which are obviously intended for the religious sector. Now how about this: we both drop our protests. Let Egged run buses on Shabbat, and let Egged run separated buses. This way, we both win one piece of the battle and lose another, and it will not impact either side negatively!
Islamist militants attack African Union base in southern Somalia (Reuters)
from the article: Egged secretly begins running bus line on Shabbat