Darn! The search facility is not very good on that blog. I just tried but couldn't find it either. I have a slow internet connection. I remember there were a lot of comments in the comments section, one of them talked about an interviewee who was a couple weeks post-partum and told her birth-story to everyone on the search committee, so that the only thing people could remember about her was the graphic birth story (don't do that, obviously! Poor lady, I'm sure I would have done the same thing, baby brain and all).
Well, I also remembered that my PhD supervisor (a female full professor with no children) and several other senior women in Academia (who do have children) - full professors and emeritus professors - stressed to me that I should put my maternity leave on my CV (for tenure-track positions in North America). They have all participated on search committees and said it accounts for any gaps in your publications. If you do not actually have a gap in publications, and you have a toddler, even better - then that would show that you CAN produce academically with a child. So their advice suggests it might be good for the search committee to know you have kids.
I agree with Meg that if you could pull it off it would be awesome to ace the interview with baby on the boob in the sling. But I would just worry I couldn't actually pull it off, you know? Before having my kid I had all kinds of high ideas about taking her in the field with me and working with her, but the reality is it isn't always practical or possible, and I can't always pull it off. I do take her in the field with me, but I've had to really lower my expectations of how much I can get done.
I think for me the unhappy medium for a campus visit would be to take baby and a really switched-on caregiver, not hide the baby, but schedule breaks for nursing, and try not to be responsible for baby during key intellectual moments! Easier said than done. I hope your birth is easy, baby sleeps for long stretches, and you get one of these great jobs!