I don't understand why, in your book, having kids involved in sports and other activities does not equal good family time. Having my son involved in these things gives us a chance to do things together be it an organized practice or practicing at home together one on one or leading/coaching.
Some people feel life is too competitive these days to not have their children involved in as many things as possible. I see both sides of this. I want my son to be well rounded.
He plays soccer in the fall and baseball in the spring. He also participates in Cub Scouts. This year he has found a new interest, choir productions at his school (he's a 2nd grader and loves it). For the choir productions he goes to school at 7am 3 days a week while they are practicing. If he didn't want to do this, I wouldn't make him.
My husband and I coached our son's team both years he played TBall and continue to help now. I am also a den mother in his cub scout pack. My husband volunteered and built sets for last Christmas' choir production. This child is our life. We still go to the beach for the day with all of our friends about once a month. We go to the park, zoo, etc. at other times as well. I don't feel that our life is "less family" because our son is involved in activities. I feel that it has only enhanced our lives.
As he gets older, he may change his interests. If he does, I will support him in those endeavors. He knows that if his grades ever begin to slip, that the outside activities will be gone.
I agree with Roberta D. below, kids can't get out an play in the neighborhood they way we did. The perception of it being unsafe is too great. Therefore, we have to find other ways for our children to be active.
Oh, and BTW, my husband and I both work full time. We don't have the luxury of one of us being stay-at-homes. Yes, our life is busy and full. But, I think that is the way life should be with children. I wouldn't trade it for the world.