The job I took after my post-bacc year was helping to pay the bills, but my wife (who stayed in the industry that I left for medicine) makes much more, so I cut my schedule and worked part-time for two months after her maternity leave came to an end. Two months after that, I quit for good and am now a "SAHD" until school starts. We're having to pay for daycare soon, since waitlists are the norm and we were lucky to find a spot, but I don't think we'll use much of it until August. My wife hates that she has to work, by the way, and that was not a small obstacle to this whole medicine thing for me.
Anyway, I understand what it means to be a full time parent. Despite how simple it may seem to an outsider, even to me at times, I'm constantly surprised at how drained I feel by the end of the day. You don't get lunch or bathroom breaks on a whim, and you don't get to leave when the whistle blows at 5. It's definitely work and I'm proud of what I do.
At the same time, I would not personally compare parenting to being employed by a company or working for oneself. Having spent time as both a full time employee in a large company and a full time parent, I find the two activities to be in very different strata. One is not more important than the other, but one is considered a career and the other generally is not. That's not a value judgement.
The thing is, of course, that you might want to include it in your AMCAS application in order to explain what you have been doing for that period of time. I would be more comfortable putting it into your personal statement, as it seems that parenthood has shaped a lot of your motivations to become a physician; however, if you think it's more appropriate in work/activities, no one is stopping you. I have no idea what adcoms would think of it either way, nor does almost anyone else reading this thread.