But that’s it, it’s not the 1960s. In the fallout timeline the bombs drop starting in 2077. It’s just an alternate timeline massively influenced by some aspects of 1950s-60s Americana. The games have tons of things referencing the time before the war but don’t tend to have the direct flashbacks to the past like the show does so it’s hard to say for definite whether there was as much direct racism as there was in the real world time it’s inspired by. There’s plenty of xenophobia, Red-scare attitudes and nationalism due to there still being so much war between countries before the bombs drop though.