The virtual particle theory is also implicated in other theoretical phenomena, like hawking radiation, where the antimassed virtual particle falls into the event horizon, and the massed one does not, resulting in mass zipping away from the black hole's horizon in the form of radiation, while the mass of the singularity is reduced, as it absorbs the antimass of the particles streaming in, causing annihilation, and turning the mass into spacetime to satisfy the field equations.
Virtual photons are also demonstrated and used regularly by humans. Near field communication between cellphones and credit cards makes aggressive use of virtual photons which make up the bulk of the EM near field.
The secret sauce I am seeing here is the de broglie-bohm interpretation of physics being used instead of Copenhagen. Bohm says that particles are always particles, but that they are constrained by the pilot wave they ride on. (A bit like a surfer rides a wave, and can only ride on certain parts of a wave) the pilot wave can experience constructive and deconstructive interference, and this impacts the trajectories of particles riding on them.
It is that secret sauce that would permit manipulation of the pilot wave to permit only antimassed virtual particles to ride in one place, and massed ones in another, to create concentrated populations. That would satisfy the negative mass requirements for the alcubierre metric to be created, and thus create warp drive.
That's a big if though. Physics likes Copenhagen for a reason, and I expect that the universe would have to pry it from their cold dead hands before it loses favor.
Time will tell.