Women soldiers should be given Torah scrolls to dance with. (Halachically, they may do it.) Place the two groups of men and women at some distance from each other so the men don't hear the women singing. Then allow non-dancing/singing men and women to attend and observe each group as they wish.
2 Turkish security personnel killed, 24 wounded by Kurdish suicide bomb in eastern Turkey (Reuters)
from the article: The gap is narrowing between IDF and ultra-Orthodox customs