We have two young kids, and in order for us to enjoy our time at all, we HAVE to take it fairly slow. That doesn't mean that we don't get stuff done, but we're also not Open-to-Close people, and if we have to wait in a line for something the kids really want to do at a non-optimal time--so be it. We do go with a plan, which is essentially a list of what we want to do in what order, but we don't drag our kids all over. That wouldn't be any fun, and we're there to have fun.
I will say that being at Disney was the best time we've ever had together as a family. It was just a week of of the four of us, no outside distractions, no housework to do, and no pets to take care of. Just four humans, focused on having fun. It was reconnection that I think we all definitely needed.