I'm pretty sure the multiverse theory is baked into the big bang theory and cosmological theories, so I wouldn't necessarily call it mostly science fiction.
Cosmological hypotheses suggest universes with different initial conditions are possible (different space-time geometries, different elementary particle masses, etc.). The big bang theory suggests multiple universes (not just ours) with different initial conditions were formed due to eternal inflation. As the multiverse continues to undergo this eternal inflation, there forms pockets where the inflation has ended and is "hospitable". Our observable universe would be an example of such pockets, but since inflation is eternal, there should be many of these pockets.
Hehe, yeah, it's a bit harsh to call it science fiction, especially this day in age when a lot of new physics lives in theoretical physics.
Cosmological models are very difficult to test given their nature. In many cases they are tested in massive physics simulations. The general test is to simulate the cosmological theory and see if it produces a universe that has the same observable qualities as our current universe once the simulation reaches our present epoch.
Nevertheless, Hawkins had his own reserves regarding his theory due to it not being experimentally falsifiable; but one must understand that rejecting the multiverse theory = rejecting the big bang theory since they are currently coupled.