When I think of Tim Tebow, I think of Kyle Boller.
You see, Kyle was drafted in the first round in 2003 because of a strong final year at Cal. Up until his last year, Boller had been a tremendous disappointment, for his cannon arm had completed just 45% of his passes, thrown for just 1721 yards a year, and compiled a lackluster 36-38 TD:INT ratio. Then famed QB guru Jeff Tedford took over at Cal, and Kyle threw for nearly 3000 YDs with a 28-10 ratio his senior year. His rocket arm and great size (6'3", 220) led Brian Billick and the Ravens to take a chance on his continued improvement and made him the Ravens QB of the future.
The Ravens, however, had overlooked that Boller, in his best year, completed just 53% of his passes. Boller's accuracy issues hadn't really gone away, so much as a new system and better coaching hid the rest of his flaws. In the NFL, Boller's accuracy proved to be his undoing, as he struggled through nine years in the NFL to a 56.7 career completion %. That is, in all fairness to the Ravens coaching staff, a tremendous improvement over his college career (47.8%), although it came at the cost of running a conservative short passing game (Boller averaged 5.9 YPA, 10.4 YPC, and just 133 YPG in his career) that rendered any offense with Boller at the helm completely impotent.
The point is, quarterbacks that can't throw the ball accurately in the NFL aren't likely ever going to do so.