The history of the Dolphins decisions throughout the 2000's and 2010's is pathetic.
Culpepper over Brees as you mention (one of the reasons I hate Nick Saban).
Every player Nick Saban drafted being either a complete bust or a bust relative to their position (Ronnie Brown was a decent RB but not a #2 overall back).
Trading a 2nd rd pick to the Eagles for AJ Feeley.
Making no effort to resign Wes Welker who went on to dominate with the Patriots.
Picking Jake Long with the #1 overall pick when they could have drafted Matt Ryan. Long was great for about 5 years before injuries forced him out of the NFL. Meanwhile Ryan is already #10 all time in passing yards.
2nd rd pick on Pat White as a possible QB of the future. I'm not sure he even actually ever played a down.