Wait, was that a Picard quote, in fact? It has the right tone. (Nope, looks like it's from Age of Ultron.)
Patrick Stewart's role in TNG was iconic and left a big mark on me as a kid. I felt like TNG really envisioned a society that would be utopic, and I was always inspired by his code, his faith in himself and his morals, and his deep curiosity and compassion for the people around him and the strangers out in the universe.
The world of TNG still lives in a tiny corner of my brain, as a place of both comfort and inspiration.