I have to disagree. Curiosity is not a direct route to insecurity, at least not universally. For some, it's a thirst for experience that's impossible to achieve in your lifetime. For others, it's a desire to escape their present lives. There is no 'one-size-fits-all' for motivation, and so the 'we' you're using, doesn't really apply to humanity as a whole.
Anyway, if I absolutely had to go choose a different era to grow up in, I think I'd be born in the 60's. I am really fascinated by the whirlwind of culture that developed through the 60's, 70's, and into the 80's and to see how that perspective might affect my thoughts/beliefs. A lot of movements, ideas, and concepts, especially artistically, blossomed in that span of 30 years, it would be pretty neat to be able to watch them evolve.