Perhaps by continuing to ignore it. Hawking has some weird (if somewhat common) opinions about AI, aliens, and I guess capitalism too. He should stick to black holes.

What annoys me is he often has the basic facts right. For example, fully general AI is dangerous (but not really because of Terminator-like scenarios); if there are intelligent aliens we should not expect them to be nice any more than mean, and there are good arguments to expect mean, and so we should be careful (but not because of the very unlikely scenario outlined in Signs); and in this case he's right that further automation of the economy will produce greater economic inequality, but economic inequality is a good thing, it's absolute wealth and poverty that's the real problem, and I'd bet on the trend of the poor not in fact getting poorer, on an absolute scale, continuing. See http://paulgraham.com/inequality.html