Your research here is simply casting aside the literally THOUSANDS of "non-1st round QB's" that never amount to anything in the NFL.
The odds of hitting on a QB in the 1st round is somewhere in the neighborhood of 25% or so. The odds of hitting on a QB from the 2nd round-UDFA is immeasurable because the sample pool is so large, and the results are so microscopic.
Several of those 1st round QB's listed there haven't been in the league long enough to have a legitimate shot to win a playoff game yet, but they've already gotten their teams to the playoffs. Steve Young, Troy Aikman, Phil Simms, Aaron Rodgers, Eli Manning, Phillip Rivers, Peyton Manning, Drew Brees, etc.... were all in the league anywhere from 4-8 years before they won their first playoff game.
I don't believe you need a 1st round QB to win a playoff game, but I've been reading "analysis" just like the one you've provided here every year for about the last 10 years or so.
You don't draft a quarterback in the 1st round just to draft one, but when a legitimate quarterback prospect is there for the taking, you pick him. Especially when you don't have one. Doesn't matter if it's the #1 overall pick, 13th overall pick, 2nd round, 3rd round or 6th round.
You don't pass them up for fear of busting out. Any position can bust. But none of them are going to turn around a stagnant franchise even if they do "hit" quite like the quarterback position will.
Passing up quarterbacks when you don't have one is far worse than busting out on him. Not only did you fail to land your quarterback, you let someone else have him.
Those franchises that busted out on quarterbacks in the 1st round are no worse off than Miami has been by passing them up for the past decade. If you miss, you keep trying.
The Colts didn't throw their hands up in the air after they busted out on Jeff George, they drafted Peyton Manning when they had the chance. The Chargers didn't quit when they busted on Ryan Leaf, they took kept trying with Drew Brees and Eli Manning (who they traded to the Giants for Phillip Rivers).
The Bears busted on Cade McNown, but kept trying with Rex Grossman. They've played in a superbowl since then.... Miami hasn't. Joey Harrington didn't preven the Lions from taking Matthew Stafford when they had the chance.
Just about every team in the league has busted out on 1st round quarterbacks, and they keep trying.... and they've all had more success than Miami has had despite busting on these QB's.
Miami will continue to remain irrelevant in the landscape of the NFL until they figure it out, just like everybody else has.