This is something of a massive hostage to fortune, but I suspect there won't be a News Corp in a couple of years time.
If Murdoch stays, it will destroy the brand. If he goes, it will destroy the brand.
If the name does survive, it will be for a much reduced rump of companies, with most of the holdings sold off, and no-one called Murdoch anywhere near the levers of power - though possibly still clinging onto the levers of profit.
1 - "News Corp shares fall as pressure grows," unattributed article. Published by the BBC, 18th of July, 2011. (http://www.bbc.co.uk/news/business-14181119)