As for the championships argument, the thing that gets me with that one is that guys like Eddie House, Adam Morrison, Darko Milicic etc all have more rings than Karl Malone. Are they better players than him? Not nearly.
Also, Karl Malone gets placed higher than Bird and Kobe because he played at a very high level for a really long time. This is the nature of giving players points based on their rankings in statistical categories. Players who were great in a number of categories for longer get the advantage over those who were great for a shorter time (Bird) or truly exceptional in only one or two areas (Kobe).
The thing is you are trying to measure the greatness of the greatest players ever, not the greatness of role players. Longevity is a measure of the greatness a great player has on a league but more so than that is the greatest of players ability to rise above just great and be an all-time great by winning championships, sometimes many championships.
You are handicapping the truly elite accomplishment of being champion simply because there are a few players that are great that didn't win a championship and there are some players that aren't great that did. Karl Malone, John Stockton, Steve Nash, Charles Barkley, George Gervin and the rest are still all-time greats and a properly weighted system would reflect that but that lacked ...something. Something Bird and Magic and MJ and Russell and Sam Jones and John Havlicek and Willis Reed and Walt Frazier didn't lack. Something LeBron James might lack.
And that...something... is what separates those all-time greats from winning a championship and those that don't. That ...something... is what makes Shaq a three time Finals MVP but only a one time NBA MVP. Its what made Jordan a six time Champ, a six time Finals MVP but only a 4 time NBA MVP during those 6 championship seasons.
As much as Malone should be separated from the likes of Horry and Kerr and such because he didn't win a championship but is so much better a player than they are, Bird, Magic and Russell should be separated from Malone and Stockton and such because they had what it took to bring their team to the zenith and those other greats didn't.
I think you're certainly getting at something true here, but I also think that what you're getting at is something intangible which can't be fairly valued in a statistical ranking like this.
Did Bird have something intangible which made him a better player than Karl Malone, more a winner? Did he have the "heart of the champion" where Malone did not? Almost surely. Is there a way for me to quantify having the "heart of a champion"? No, not really.
Also, I still have trouble agreeing with this notion that the All-time great who win a championship are necessarily better than the ones that didn't. In the Finals series we just watched, could the Heat have won if LeBron had more heart and dominated, carrying his team to victory like we all think he could have and should have? Absolutely. On the other hand, couldn't the Heat have also won if they simply had better role players, guys who could step up and help carry the load, the way the Mavs role players did? Certainly they could have. When the difference between victory and defeat so often rests on the shoulders of the role players who make up the team and the coaches who draw up the X's and O's, it's hard to penalize a player for not ever winning a championship -- not without spending a great deal of time measuring the relative worth of their teammates against the teammates of their opponents and superstar peers.
I'm not saying LeBron, Malone, Stockton, Barkley, Nash etc don't necessarily lack that "heart of a champion," and that they shouldn't be considered behind the likes of Larry Bird because of it. I'm just saying it's really difficult to quantify that and value it. Only a few days ago we could have said the same things about Jason Kidd and Dirk Nowitzki and claimed they deserve to be behind guys like Havlicek / Sam Jones / McHale because they hadn't won yet.
I guess my point is that this whole "championships" vs. "no championships" issue seems to be largely driven by a contrived narrative, not anything objective that we actually see on the court (except perhaps in obvious moments like Game 4 when LeBron totally checked out).