Statistically Dirk is a more efficient offensive player, Dirk is one of the most 15 efficient players of all ing time. Dirk's defense while not great is better than Amare's. As far as accolades? Dirk led a jump shooting team to within
one whistle of a ing championship, Dirk is an 8 time all star,
an MVP, and an 8 time all NBA player.
Another note on defense, Amare had foul trouble problems the past few years I believe, which meant Dirk plays 3-4 minutes a game more than amare because he doesn't foul as much. That's 6-8 more possessions, that's significant and a knock against Amare in favor of Dirk.
Also, dirk is more durable

. The injury prone ness of a player should be used to judge players, and Dirk is rarely hurt wheras Amare has missed over 120 games over the last 3 years.
Dirk has Amare beat as far as statistics, accomplishments, AND character/work ethic, which is why he is a better player despite being less gifted athletically