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As a 16 year old high school girl in 1964, I doubt very much that Hillary Rodham [Clinton] was a scholar of libertarian economic philosophy. Could it be then that maybe she liked Goldwater because he was very much "pro-choice" on women's issues, and that he was also very much a proponent of the separation of church and state?
Remember that the Roe v Wade ruling of the Supreme Court wasn't made until 1973, and until then "back ally abortions".
Huffington Post: The Bad Old Days: Abortion in America Before Roe v. Wade
Hillary is just one year younger than me, and the 1960s were tumultuous times. The criminalization of abortions was on the minds of young women, but it didn't make the daily headlines of the war in Vietnam. Here's a chant from my time: "Hey, hey LBJ, how many kids have you killed today?" I have classmates who died in that war. It kind of changes your perspective. I hated LBJ at the time.
"Make love, not war" was another chant from those days.
For teenagers like Hillary Rodham in 1964, the Goldwater's stand on being pro-choice is perhaps no different than the Parkland High school kids identifying with candidates and politicians who are anti-NRA.
For me, I love that Richard Nixon created the Environmental Protection Agency but that doesn't make me "Nixonian" any more than being a "Goldwater Girl" made Hillary a libertarian.