I’ll answer this, though it’s all hypothetical, as I don’t have kids.
1. No, I would not be fine with it. However,
2. This NIMBY attitude is part of the reason why we end up in these screwed up situations.
If the same people who feel so passionately about the potential for their daughters to get drafted poured that energy into protesting women in combat / infantry roles, perhaps this wouldn’t even be a subject for debate.
Regarding women in Combat roles, upwards of 90% of females in the military object to being in combat roles. My experience is that similar numbers in society in general feel the same way. Much of the fundamental transformation (i.e. women in combat, transsexuals, etc.) is being done by fiat...