This is a quite interesting subject. While I guess kanji are important enough language- and culture-wise to make a complete ban kind of undesirable, you can't really deny that memorizing thousands of them is a huge pain in the ass and a potential deterrent for people who'd like to learn the language.
I think that banning them is way too drastic, though, even if they are quite annoying sometimes. On one hand, that'd make the job of learning Japanese so much easier, but on the other hand it is, for better or for worse, part of the language and to a degree the culture. Limiting the ones in common use (further, i.e.) might not be a bad idea, though.
Or maybe they should just make furigana mandatory.
