I am definitely pushy, but in my own way. I could identify with some of what Amy Chua said - what especially rang a bell with me was her statement that she assumed her children would be resilient enough to be pushed, to have high expectations put to them from a young age, and to accept criticism or suggestions for improvement. We have chatted from an early age about what they will do when they are grown up and no matter what hairbrained notion of a career they had I have always said "I think that's a marvelous idea and if you pay attention and work hard in school, do your homework every night and study for tests you can do that." Or words to that effect.
I make sure criticism is positive - in that I think Amy Chua and I part company. I also think that you need to allow them the illusion that they are choosing what they want to do, meanwhile making them develop solid organisational and work habits until they get to the point of feeling that not doing homework or studying is unthinkable, and trusting that by the time they have to choose a career, you will have brainwashed them enough to choose something other than owning a pet shop with their best friend (DD4) or being Batman (DS) or owning a dog farm (DD2) or hairdressing (DD1). The child to be worried about, imo, is the one who accepts without a fight whatever her parents tell her about herself or her future, or who has no idea herself what she wants to do.
We bypassed music and dance except for a brief foray into the (crazy, and crazy expensive) world of Irish dancing with one DD. The DCs have participated in sport instead and we have been lucky enough to have good sport opportunities in their schools. They are not naturally talented in any sport as far as I can see, but they have played, and I have done my share of getting them out for 5.30 am practices in order to facilitate this. They have all done their share of babysitting and weekend jobs too, from age 12, and chores around the house from earlier. I think the more you expect the DCs to fit into a day the more they end up fitting in and the better they get at time management and prioritisation. Fitness is good for the mind. They have all done as much by way of art as I could find for them, both in school and at home, partly because art is sort of my thing and I like to have something I am enthusiastic about to share with them, but also because I think it's a good thing for any brain to have both sides up and running.
We have not bypassed academic subjects and I insist on real effort in all areas but in maths above all else. This is where I sing from the same hymn sheet as the Tiger Mom. I am willing to do whatever it takes to get the DCs to reach their potential and I firmly believe (not without evidence) that their potential is great. I think you have to set the ground rules right from the start and to make a big effort in the primary years to get them reading, to get them interested in the world around them, to help them see the link between effort and results - in as positive a way as possible, not using punishment, talking themselves into believing they can achieve whatever they set their minds to and encouraging them to be positive about themselves.