I have not been through this, but I would be completely pissed if this were to happen.
The people most hurt by the strike would be the kids and that isn't fair. I would also be horribly pissed because it would cost me significant out of pocket money to send my kids to a daycare all day long rather than just after school. I could not quit my job to entertain stuff like this.
I completely agree that teachers have some legitimate gripes. I totally agree that they do not get paid enough. However, teachers have NEVER gotten paid enough...you kinda have to weigh the payscale when you decide to become a teacher. What I really think the teachers should be absolutely furious about is the benefits cuts. With the lack of raises in my area and the increase in health care costs, they are essentially taking a pay cut. That isn't fair to them since they agreed to a lower pay rate in order to get the good benefits.
However, punishing the kids is NOT the answer. I consider teachers to be essential just like doctors, police, and firefighters. I would consider a strike to be completely unprofessional by any of these groups.