That’s not right, either, since he is speaking in the present tense and comparing his current local high school’s attempts to emulate what Los Alamos high currently does:
> Reminds me of the fact that Los Alamos High School has the highest test scores in New Mexico. Our local high school tried copying their schedule, in search of the secret. Didn’t work. I know of an approach that would, but it takes about fifteen years.
I think you're simply reading too much into his imprecise usage of grammatical tense.
"Our local high school" probably refers to when he was in high school himself decades ago, being born in 1953, that would put those years right around the time period when children of Manhattan Project physicists have demonstrated their academic talent.
Given the fact that Los Alamos High School is not academically renowned in the current day, but was so half a century back, this is the only context in which his series of statements make any sense.
> Reminds me of the fact that Los Alamos High School has the highest test scores in New Mexico.
He's referring specifically to the physicists working on the Manhattan project, who were definitely predominantly male.