I'm not tidy by nature. It's a struggle for me. But, I have noticed that the three kids, myself, and my husband are less stressed, happier, and more content if the house is clean. I've been working on it, particularly since the holidays. And I'm finding, that, if I can keep up with the chaos throughout the day, it is actually easier to keep it clean, then it is to clean it once a day, or once a week, or even once a month!
I enlist the big kids' help. They help to put things away (usually a couple things, take a break, a couple more things, etc.). The dishes and the laundry are the most time consuming and the hardest to fit in (as someone is almost always needing something after meals). What has made it all possible for me is to do things while the baby is asleep in the Ergo Carrier. She is on my back, and content because she's being held and tended to. I can usually engage the bigger kid(s) in some sort of activity (coloring, a craft, a pretend play, something), and I can get my chores done.
I'm not sure about it being a mainstream vs. crunchy kind of comparison. I belong to a pretty darned crunchy AP group, and most of them are pretty neat and tidy. I think what is different is the approach AP moms take to getting that house clean. I think it is clear among my group, that the kids' needs are not neglected in the face of the parent's needs to have order to their home. It's about family balance, and I think it is important for that need to be met if that is what the adult needs to feel in control of their environment. But, it can be done in a way that also honors the needs of the children.