As terrible as the App Store situation is today, it will get better starting in June/July. I have a hunch that Apple is going to solve this problem with parental controls.
Apple does a great job of design, usability, hardware hacking, and recently they've even been pretty effective at getting content owners to move in the direction of reasonable licensing terms for digital distribution. However, they do not have magic pixie dust which makes them immune to brain-dead "content filtering" algorithms, whether human-mediated or not.