Welcome to the Bureau of Paranormal Research and Defense.
Originally created to handle the supernatural and unreal, this United States government agency has been reconstituted for a slightly different reason: to handle the sudden influx of people from other worlds. The existence of other dimensions has always been accepted in the BPRD, but no one was exactly prepared for how many oddities have been showing up, needing food, shelter, and hopefully a way home.
This being a bureaucracy, you can't get something for nothing. The United States government is willing to offer a temporary living arrangement to these newcomers if they can get what they sorely need out of them: workers. The BPRD is understaffed and in need of researchers and field agents to do the dirty work that comes with fighting demonic forces. This is the only option for these cross-dimensional travelers, who know that they have to trust in the goodness and rightness of democracy to find them a path back to their own worlds.