"RACES sounds like a better better organization, "
Sorry to disagree, but that myth needs to be busted. DIE VAMPIRE DIE, that kind of busted.
ARES is an organization, run by the ARRL.
RACES is NOT an organization. It is a communications service under the aegis of the FCC and Congress. It is a SERVICE which allows government emergency operations agencies to create their own INDEPENDENT and SEPARATE radio amateur emergency communications service "departments". Or divisions, or teams, however they prefer to call and classify them.
Each RACES group is separate, there is no umbrella organization. There is no "Chairman of the Board", no "Executive Committee" no nothing except Congress and the FCC overseeing a service.
So the "Podunk RACES" team, proudly sponsored by the Podunk Emergency Operations Department, is totally unrelated to the Goober State RACES team, even if Podunk is in the state of Goober (I'm not sure) and the West Podunk RACES team may only be twenty miles away, but it is, again, still a totally separate entity.
The odds are that all RACES teams in a county will have formal agreements with each other, and with other counties and any state team in their state. But they are all separate organizations, no one person can tell them all "Stand down, the operation is over."
On the other hand, the ARRL can issue orders and edicts and in fact even DISBAND any local ARES group and personnel. And there have been several embarrassing incidents where they have had to fire someone "in charge" of an ARES group, and even pursue legal actions against them.
The myth that RACES and ARES are both "organizations"? DIE VAMPIRE DIE.
Many people serve in both, yes. I can work nights at WalMart and days in a mortuary, that doesn't mean WalMart is a funeral home.