This is actually why I (sort of) prefer the slashdot voting system. It's not just flat voting, it's voting with a purpose and explanation.
At least that way if someone downvotes for not agreeing with a statement, they have to think about that reason and admit it to themselves, even if they don't admit it to the website.
At least that way if someone downvotes for not agreeing with a statement, they have to think about that reason and admit it to themselves, even if they don't admit it to the website.