'Apollo: Race to the Moon' by Murray and Cox described how the Apollo engineers drew their priorities from Kennedy's speech: Man. Moon. Decade, in that order. There's a difference between genuine safety and bureaucratic safety, something NASA has admittedly forgotten.
[1] https://youtu.be/Jv5LjA62Uw8?t=3480 [2] https://youtu.be/Jv5LjA62Uw8?t=3644