Kirk
Picard
Okay I love Picard and voted for him but Kirk is in dire need of some love here. The great thing about Kirk was that he was what everybody secretly wanted to be: rash, bold, a smartass, and picking up all the alien chicks.
I thought the great thing about Kirk was the those tight shirts accentuated his gut?
Well considering he used to have some lingering negative feelings about his time on Star Trek and the fans he might be cool with it.
Than again, Patrick Stewart did cure him of those negative feelings.
I have respect for the original series, and if you enjoy Star Trek, even if it's not your favorite, you can sit down and watch the episodes and enjoy yourself.
I think a lot of it could be at least partially do to a generation gap. We all grew up with Picard. Kirk was some brash, overly dramatic jackass that commanded with his libedo. He's okay, but he's the captain of a different generation of fans.
It's more than just the generation gap. I rarely watched Star Trek growing up, and when I tried to get into it, started with the original series. It was ok, and entertaining to varying degrees. TNG did pretty much everything better: better writing, better development, dealt with deeper issues (torture, witch hunts, what is life, what is "reality," etc.), and had more in-depth characters. Picard was much more complex than Kirk, and of course it didn't hurt that Patrick Stewart is an incredibly complex actor.
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.)