I have to agree with you. I don't know if these baby geniuses really can look fondly back on their childhood and say 'yeah, I had a great time.' without the shadow of their parents flogging them with 'you must learn this!' or 'you must do that!'
While their parents may mean well, the old adage of 'the road to hell is paved with good intentions' will no doubt ring true in this situation as well. Yes, give your child the best possible, but leave them to enjoy life rather than go blind reading and studying subjects that could very well be useless to what they end up choosing in the long run.
If she were my daughter, I would no doubt encourage a healthy education but mix it up with other activities. Much like the old fighting between the Confucianists and the Taoists of books vs. nature, there needs to be a balance that the child chooses, not the parents. Take her out, apply what she learned in those books in the real world. Have fun with gravity, blow up stuff with chemistry, launch a brick into the neighbor's window with physics, have her kick her cousin's ass with applied kinesthetics of martial arts, etc. Then when she's old enough to think and understand for herself she can use what she learned in her earlier years to choose whatever the hell she wants to do and I as her parent would continue encouraging and supporting her. Hopefully her father will ease up before she breaks.