Let's talk about leadership. Basically the difference is that Kirk may be good at some things, but Picard is either just better or can find smarter solutions to things.

Kirk is smart and resourceful; Picard is an intellectual and a tactician.

Kirk is hot-headed; Picard is cerebral.

Kirk is a ladies' man; Picard is a gentleman.

Kirk is a man of impulse; Picard is a man of strategy.

Kirk is a fighter; Picard is a diplomat.

In short, Kirk was a great character in a great series, but Picard is the man I'd want in my Captain's Chair. (Not a euphemism.)