In fact, since spacefaring presents a threat (kinetic bombardment) to any planetary-bound species, then that majority who choose to enter the simulation may want to expressly prevent the minority from leaving the planet.
I think the metaphor to look to isn't necessarily even human civilizations spreading around the globe; it's life spreading through the planet to colonize every niche out of which the slightest scrap of energy can be extracted.
It's an interesting question. How do people maintain control now? In general, it is not through physical control. We have institutions, we have "manufacturing consent".
Manufacturing positive consent for a billion-year project is - obviously - a completely different kind of problem.