Wow. I absolutely agree with you, 100%. Google is not, by any imaginary stretch of the word, appropriate for children. Some of the things that pop up when I search for things are completely inappropriate... mothers who use the "trust" cop-out for lazy parenting are seriously delusional. Just because you trust your kids does not excuse you from the responsibility of protecting your children from exposure to things that are beyond their emotional maturity.
My kids do have Nintendo Wii, Playstation, and Satellite TV (I'm not a control freak about what they watch on TV- they can watch pretty much whatever, as long as it's relatively age appropriate. I wouldn't let them watch Family Guy or anything vulgar like that), and they are allowed to play on the computer but they can only go to websites that I have reviewed and allowed them to go to. I save the links to their 'allowed' websites on the desktop of the computer so they can easily get to them.
They also have Nintendo DS for when we go somewhere, and my little one (age 4) has a MobiGo. My 7-year-old has an i-pod (without internet access) but I put the music on there so nothing inappropriate ends up on it.
There are two extremes- IMO you have to allow your children to become exposed to things, but you have to protect them from things that are maturally beyond their grasp. You CAN over-protect, and you CAN over-expose, neither of which is healthy for a child.