I like the "hate male" hehe! That made me laugh:-)
I'm an attachment parent too. I have co-slept (do it because it was easier for me and I like having baby close by), have refused to leave my kids with most people (except certain family and some friends), and have them with me most of the time. So, I totally see where she is coming from. She has reason to not trust people (the husband, though?). Point being - I would respect the fact that she is following her gut and doing what she feels is right and not criticize her for it. Though I might totally disagree with my friends and how they parent at times, I always know they are doing what they feel is best.
I could see myself bringing my kids out on a date like that...well, not if my husband was available I wouldn't. that is weird. Another part I don't get is why she was chasing her kids. When we go out, my kids sit and behave well. They never get up to be chased;-) They might distract me some, but it wouldn't be like what you are describing. Sounds like she might be a very permissive parent, which isn't part of attachment parenting.
Can you go to her house for a visit some times? I'm guessing that would be a better atmosphere for actual chatting. Give her time, it sounds like she's a fairly new mom. Odds are over time she'll balance out a little more, or at least with their ages, she will be able to focus on other things more in a few years. My only suggestion is to be careful of thinking of her like she's being too "out there". I'd just suggest respecting that this is how she feels best parenting and that is good for her. Odds are she has had things happen to her that give her very valid reasons for having trust issues, and if you knew all, it might make total sense to you why she's chosen what she has.
Sorry it's so frustrating right now! I've had the same thing with some of my friends, and it's just a new normal to me in my relationship with them. Though, I don't know any of them who wouldn't leave their kids with their own father! That part seems a bit bizarre to me...but maybe there are reasons? Maybe he doens't want to watch them?