If I recall correctly, there was a guest worker program during Ike's era.
In 1965, apparently far beyond the memory of most people now living in the US, a homicidal, drunken pantload from Massachusetts had a bunch of left-wing wonks work up "The Immigration Reform Act." Instead of dealing with hundreds of thousands of legal immigrants from around the globe in a sane and orderly fashion, we opened the floodgates that held back the Third World. 10 million illegal aliens? HA! That's LA County alone.