One solution to OP's problem is to strengthen libel and slander laws to deter people from casually publishing fraudulent news, akin to a DMCA takedown request but perhaps a bit more bite. In this case I would distinguish publishing from 'sharing' with a bit more legal finesse.
The problem is the press will scream bloody murder at any attempt to reign in their right to publish, perhaps rightfully so. IANAL.
The problem is the press will scream bloody murder at any attempt to reign in their right to publish, perhaps rightfully so. IANAL.