Given that this virus has already made the species shift four times that we know of, "halting all transmission" is sort of a strange concept.

Yes, but that would require an effort by an organisation like WHO of a scale never seen before. I would be very proud of the human species if we could pull this off.

I think, as a species, we'll master time-travel before consensus...

Smallpox was a plague of similar proportions, and the world community got together and pulled the massive feat of erradication in a decade.

It's not like HIV.